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31299072 = 29374171
BaseRepresentation
bin111011101100…
…1011000000000
32011220011020220
41313121120000
531003032242
63034503040
7530015640
oct167313000
964804226
1031299072
1116738502
12a594a80
13663b37c
14422a520
152b33bec
hex1dd9600

31299072 has 160 divisors (see below), whose sum is σ = 98993664. Its totient is φ = 8601600.

The previous prime is 31299071. The next prime is 31299101. The reversal of 31299072 is 27099213.

It is a super-2 number, since 2×312990722 = 1959263816122368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31299071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440797 + ... + 440867.

Almost surely, 231299072 is an apocalyptic number.

31299072 is a gapful number since it is divisible by the number (32) 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 31299072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49496832).

31299072 is an abundant number, since it is smaller than the sum of its proper divisors (67694592).

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

31299072 is an equidigital number, since it uses as much as digits as its factorization.

31299072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 31299072 is about 5594.5573551444. The cubic root of 31299072 is about 315.1450478381.

The spelling of 31299072 in words is "thirty-one million, two hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 71 82 84 96 112 123 128 142 164 168 192 213 224 246 256 284 287 328 336 384 426 448 492 497 512 568 574 656 672 768 852 861 896 984 994 1136 1148 1312 1344 1491 1536 1704 1722 1792 1968 1988 2272 2296 2624 2688 2911 2982 3408 3444 3584 3936 3976 4544 4592 5248 5376 5822 5964 6816 6888 7872 7952 8733 9088 9184 10496 10752 11644 11928 13632 13776 15744 15904 17466 18176 18368 20377 20992 23288 23856 27264 27552 31488 31808 34932 36352 36736 40754 46576 47712 54528 55104 61131 62976 63616 69864 73472 81508 93152 95424 109056 110208 122262 127232 139728 146944 163016 186304 190848 220416 244524 254464 279456 326032 372608 381696 440832 489048 558912 652064 745216 763392 978096 1117824 1304128 1490432 1956192 2235648 2608256 3912384 4471296 5216512 7824768 10433024 15649536 31299072