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39901368 = 233131953127
BaseRepresentation
bin1001100000110…
…1100010111000
32210002012101110
42120031202320
540203320433
63543120320
7663104343
oct230154270
983065343
1039901368
1120583541
12114430a0
1383609a0
14542945a
153782963
hex260d8b8

39901368 has 128 divisors (see below), whose sum is σ = 116121600. Its totient is φ = 11321856.

The previous prime is 39901357. The next prime is 39901373. The reversal of 39901368 is 86310993.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 314121 + ... + 314247.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 239901368 is an apocalyptic number.

39901368 is a gapful number since it is divisible by the number (38) 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 39901368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58060800).

39901368 is an abundant number, since it is smaller than the sum of its proper divisors (76220232).

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

39901368 is a wasteful number, since it uses less digits than its factorization.

39901368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 39901368 is about 6316.7529633507. The cubic root of 39901368 is about 341.7138607292.

The spelling of 39901368 in words is "thirty-nine million, nine hundred one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 53 57 76 78 104 106 114 127 152 156 159 212 228 247 254 312 318 381 424 456 494 508 636 689 741 762 988 1007 1016 1272 1378 1482 1524 1651 1976 2014 2067 2413 2756 2964 3021 3048 3302 4028 4134 4826 4953 5512 5928 6042 6604 6731 7239 8056 8268 9652 9906 12084 13091 13208 13462 14478 16536 19304 19812 20193 24168 26182 26924 28956 31369 39273 39624 40386 52364 53848 57912 62738 78546 80772 87503 94107 104728 125476 127889 157092 161544 175006 188214 250952 255778 262509 314184 350012 376428 383667 511556 525018 700024 752856 767334 1023112 1050036 1534668 1662557 2100072 3069336 3325114 4987671 6650228 9975342 13300456 19950684 39901368