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1142500320 = 253251361031
BaseRepresentation
bin100010000011001…
…0010101111100000
32221121211000210200
41010012102233200
54314440002240
6305211425200
740212043503
oct10406225740
92847730720
101142500320
11536a03445
1227a755200
131529115c0
14aba4313a
156a47d930
hex44192be0

1142500320 has 144 divisors (see below), whose sum is σ = 4198757472. Its totient is φ = 281226240.

The previous prime is 1142500309. The next prime is 1142500339. The reversal of 1142500320 is 230052411.

1142500320 is a `hidden beast` number, since 1 + 142 + 500 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1142500293 and 1142500302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11796 + ... + 49235.

It is an arithmetic number, because the mean of its divisors is an integer number (29158038).

Almost surely, 21142500320 is an apocalyptic number.

1142500320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142500320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099378736).

1142500320 is an abundant number, since it is smaller than the sum of its proper divisors (3056257152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1142500320 is a wasteful number, since it uses less digits than its factorization.

1142500320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61065 (or 61054 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1142500320 is about 33800.8922959143. The cubic root of 1142500320 is about 1045.4070954967.

Adding to 1142500320 its reverse (230052411), we get a palindrome (1372552731).

The spelling of 1142500320 in words is "one billion, one hundred forty-two million, five hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 61031 122062 183093 244124 305155 366186 488248 549279 610310 732372 793403 915465 976496 1098558 1220620 1464744 1586806 1830930 1952992 2197116 2380209 2441240 2746395 2929488 3173612 3661860 3967015 4394232 4760418 4882480 5492790 5858976 6347224 7140627 7323720 7934030 8788464 9520836 9764960 10985580 11901045 12694448 14281254 14647440 15868060 17576928 19041672 21971160 23802090 25388896 28562508 29294880 31736120 35703135 38083344 43942320 47604180 57125016 63472240 71406270 76166688 87884640 95208360 114250032 126944480 142812540 190416720 228500064 285625080 380833440 571250160 1142500320