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97357104 = 243213131397
BaseRepresentation
bin1011100110110…
…00110100110000
320210012020211200
411303120310300
5144410411404
613354411200
72261343645
oct563306460
9223166750
1097357104
114aa56919
1228730b00
1317229870
14cd03dcc
158831839
hex5cd8d30

97357104 has 120 divisors (see below), whose sum is σ = 296408112. Its totient is φ = 29652480.

The previous prime is 97357087. The next prime is 97357153. The reversal of 97357104 is 40175379.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245034 + ... + 245430.

Almost surely, 297357104 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 97357104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148204056).

97357104 is an abundant number, since it is smaller than the sum of its proper divisors (199051008).

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

97357104 is a wasteful number, since it uses less digits than its factorization.

97357104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 97357104 is about 9866.9703556867. The cubic root of 97357104 is about 460.0332427142.

It can be divided in two parts, 97357 and 104, that added together give a triangular number (97461 = T441).

The spelling of 97357104 in words is "ninety-seven million, three hundred fifty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 131 144 156 208 234 262 312 393 397 468 524 624 786 794 936 1048 1179 1191 1572 1588 1703 1872 2096 2358 2382 3144 3176 3406 3573 4716 4764 5109 5161 6288 6352 6812 7146 9432 9528 10218 10322 13624 14292 15327 15483 18864 19056 20436 20644 27248 28584 30654 30966 40872 41288 46449 52007 57168 61308 61932 81744 82576 92898 104014 122616 123864 156021 185796 208028 245232 247728 312042 371592 416056 468063 624084 676091 743184 832112 936126 1248168 1352182 1872252 2028273 2496336 2704364 3744504 4056546 5408728 6084819 7489008 8113092 10817456 12169638 16226184 24339276 32452368 48678552 97357104