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1339691040 = 253253130011
BaseRepresentation
bin100111111011010…
…0001000000100000
310110100212100121200
41033312201000200
510220430103130
6340534121200
745125120532
oct11766410040
93410770550
101339691040
11628247786
123147b0200
13184723cbc
14c9cd3852
157c930760
hex4fda1020

1339691040 has 144 divisors (see below), whose sum is σ = 4719326976. Its totient is φ = 345715200.

The previous prime is 1339691029. The next prime is 1339691053. The reversal of 1339691040 is 401969331.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 1339690986 and 1339691004.

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, 29635 + ... + 59645.

It is an arithmetic number, because the mean of its divisors is an integer number (32773104).

Almost surely, 21339691040 is an apocalyptic number.

1339691040 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 1339691040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359663488).

1339691040 is an abundant number, since it is smaller than the sum of its proper divisors (3379635936).

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

1339691040 is a wasteful number, since it uses less digits than its factorization.

1339691040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30063 (or 30052 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 1339691040 is about 36601.7901201567. The cubic root of 1339691040 is about 1102.3890335198.

The spelling of 1339691040 in words is "one billion, three hundred thirty-nine million, six hundred ninety-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2232 2480 2790 2976 3720 4464 4960 5580 7440 8928 11160 14880 22320 30011 44640 60022 90033 120044 150055 180066 240088 270099 300110 360132 450165 480176 540198 600220 720264 900330 930341 960352 1080396 1200440 1350495 1440528 1800660 1860682 2160792 2400880 2700990 2791023 2881056 3601320 3721364 4321584 4651705 4801760 5401980 5582046 7202640 7442728 8373069 8643168 9303410 10803960 11164092 13955115 14405280 14885456 16746138 18606820 21607920 22328184 27910230 29770912 33492276 37213640 41865345 43215840 44656368 55820460 66984552 74427280 83730690 89312736 111640920 133969104 148854560 167461380 223281840 267938208 334922760 446563680 669845520 1339691040