Search a number
-
+
97910904 = 233713127353
BaseRepresentation
bin1011101011000…
…00000001111000
320211020101111210
411311200001320
5200031122104
613414323120
72266141350
oct565400170
9224211453
1097910904
11502a4a03
12289594a0
1317391960
14d009b60
1588e0989
hex5d60078

97910904 has 128 divisors (see below), whose sum is σ = 304496640. Its totient is φ = 25546752.

The previous prime is 97910899. The next prime is 97910909. The reversal of 97910904 is 40901979.

It is an interprime number because it is at equal distance from previous prime (97910899) and next prime (97910909).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97910909) 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 31 ways as a sum of consecutive naturals, for example, 277192 + ... + 277544.

It is an arithmetic number, because the mean of its divisors is an integer number (2378880).

Almost surely, 297910904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97910904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152248320).

97910904 is an abundant number, since it is smaller than the sum of its proper divisors (206585736).

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

97910904 is a wasteful number, since it uses less digits than its factorization.

97910904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 97910904 is about 9894.9938857990. The cubic root of 97910904 is about 460.9038686691.

The spelling of 97910904 in words is "ninety-seven million, nine hundred ten thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 127 156 168 182 254 273 312 353 364 381 508 546 706 728 762 889 1016 1059 1092 1412 1524 1651 1778 2118 2184 2471 2667 2824 3048 3302 3556 4236 4589 4942 4953 5334 6604 7112 7413 8472 9178 9884 9906 10668 11557 13208 13767 14826 18356 19768 19812 21336 23114 27534 29652 32123 34671 36712 39624 44831 46228 55068 59304 64246 69342 89662 92456 96369 110136 128492 134493 138684 179324 192738 256984 268986 277368 313817 358648 385476 537972 582803 627634 770952 941451 1075944 1165606 1255268 1748409 1882902 2331212 2510536 3496818 3765804 4079621 4662424 6993636 7531608 8159242 12238863 13987272 16318484 24477726 32636968 48955452 97910904