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31080192 = 2831113283
BaseRepresentation
bin111011010001…
…1111100000000
32011111001000020
41312203330000
530424031232
63030053440
7525114543
oct166437400
964431006
1031080192
11165a9010
12a4aa280
136592860
1441b085a
152adde2c
hex1da3f00

31080192 has 144 divisors (see below), whose sum is σ = 97523328. Its totient is φ = 8663040.

The previous prime is 31080187. The next prime is 31080193. The reversal of 31080192 is 29108013.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31080193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109683 + ... + 109965.

Almost surely, 231080192 is an apocalyptic number.

31080192 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 31080192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48761664).

31080192 is an abundant number, since it is smaller than the sum of its proper divisors (66443136).

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

31080192 is a wasteful number, since it uses less digits than its factorization.

31080192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 31080192 is about 5574.9611657840. The cubic root of 31080192 is about 314.4087068402.

The spelling of 31080192 in words is "thirty-one million, eighty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 256 264 283 286 312 352 384 416 429 528 566 572 624 704 768 832 849 858 1056 1132 1144 1248 1408 1664 1698 1716 2112 2264 2288 2496 2816 3113 3328 3396 3432 3679 4224 4528 4576 4992 6226 6792 6864 7358 8448 9056 9152 9339 9984 11037 12452 13584 13728 14716 18112 18304 18678 22074 24904 27168 27456 29432 36224 36608 37356 40469 44148 49808 54336 54912 58864 72448 74712 80938 88296 99616 108672 109824 117728 121407 149424 161876 176592 199232 217344 235456 242814 298848 323752 353184 398464 470912 485628 597696 647504 706368 796928 941824 971256 1195392 1295008 1412736 1942512 2390784 2590016 2825472 3885024 5180032 7770048 10360064 15540096 31080192