Search a number
-
+
2141451360 = 253256124379
BaseRepresentation
bin111111110100011…
…1111010001100000
312112020112000000100
41333220333101200
513341202420420
6552254422400
7104032015266
oct17750772140
95466460010
102141451360
119a9880114
124b9201a00
132818721a9
1416459a436
15c8004190
hex7fa3f460

2141451360 has 144 divisors (see below), whose sum is σ = 7427805840. Its totient is φ = 561669120.

The previous prime is 2141451343. The next prime is 2141451391. The reversal of 2141451360 is 631541412.

It is a happy number.

2141451360 is a `hidden beast` number, since 2 + 141 + 4 + 513 + 6 + 0 = 666.

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

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, 75651 + ... + 100029.

It is an arithmetic number, because the mean of its divisors is an integer number (51581985).

Almost surely, 22141451360 is an apocalyptic number.

2141451360 is a gapful number since it is divisible by the number (20) 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 2141451360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713902920).

2141451360 is an abundant number, since it is smaller than the sum of its proper divisors (5286354480).

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

2141451360 is a wasteful number, since it uses less digits than its factorization.

2141451360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24461 (or 24450 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2141451360 is about 46275.8183071893. The cubic root of 2141451360 is about 1288.9500019025.

Adding to 2141451360 its reverse (631541412), we get a palindrome (2772992772).

The spelling of 2141451360 in words is "two billion, one hundred forty-one million, four hundred fifty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 61 72 80 90 96 120 122 144 160 180 183 240 244 288 305 360 366 480 488 549 610 720 732 915 976 1098 1220 1440 1464 1830 1952 2196 2440 2745 2928 3660 4392 4880 5490 5856 7320 8784 9760 10980 14640 17568 21960 24379 29280 43920 48758 73137 87840 97516 121895 146274 195032 219411 243790 292548 365685 390064 438822 487580 585096 731370 780128 877644 975160 1097055 1170192 1462740 1487119 1755288 1950320 2194110 2340384 2925480 2974238 3510576 3900640 4388220 4461357 5850960 5948476 7021152 7435595 8776440 8922714 11701920 11896952 13384071 14871190 17552880 17845428 22306785 23793904 26768142 29742380 35105760 35690856 44613570 47587808 53536284 59484760 66920355 71381712 89227140 107072568 118969520 133840710 142763424 178454280 214145136 237939040 267681420 356908560 428290272 535362840 713817120 1070725680 2141451360