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3131496 = 2332233161
BaseRepresentation
bin1011111100100001101000
312220002121100
423330201220
51300201441
6151041400
735421504
oct13744150
95802540
103131496
111849815
121070260
13858474
145b7304
1541ccb6
hex2fc868

3131496 has 96 divisors (see below), whose sum is σ = 9285120. Its totient is φ = 950400.

The previous prime is 3131489. The next prime is 3131497. The reversal of 3131496 is 6941313.

3131496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3131497) 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 23 ways as a sum of consecutive naturals, for example, 51306 + ... + 51366.

It is an arithmetic number, because the mean of its divisors is an integer number (96720).

Almost surely, 23131496 is an apocalyptic number.

3131496 is a gapful number since it is divisible by the number (36) 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 3131496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642560).

3131496 is an abundant number, since it is smaller than the sum of its proper divisors (6153624).

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

3131496 is a wasteful number, since it uses less digits than its factorization.

3131496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 120 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 3131496 is about 1769.6033453856. The cubic root of 3131496 is about 146.3021203669.

The spelling of 3131496 in words is "three million, one hundred thirty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 31 36 46 61 62 69 72 92 93 122 124 138 183 184 186 207 244 248 276 279 366 372 414 488 549 552 558 713 732 744 828 1098 1116 1403 1426 1464 1656 1891 2139 2196 2232 2806 2852 3782 4209 4278 4392 5612 5673 5704 6417 7564 8418 8556 11224 11346 12627 12834 15128 16836 17019 17112 22692 25254 25668 33672 34038 43493 45384 50508 51336 68076 86986 101016 130479 136152 173972 260958 347944 391437 521916 782874 1043832 1565748 3131496