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97013880 = 23325318693
BaseRepresentation
bin1011100100001…
…01000001111000
320202112211000200
411302011001320
5144313421010
613343202200
72255414205
oct562050170
9222484020
1097013880
114a841a67
12285a6360
1317139582
14cc54cac
1587b4cc0
hex5c85078

97013880 has 96 divisors (see below), whose sum is σ = 325503360. Its totient is φ = 25032960.

The previous prime is 97013863. The next prime is 97013887. The reversal of 97013880 is 8831079.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97013887) 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, 6814 + ... + 15506.

It is an arithmetic number, because the mean of its divisors is an integer number (3390660).

Almost surely, 297013880 is an apocalyptic number.

97013880 is a gapful number since it is divisible by the number (90) 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 97013880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162751680).

97013880 is an abundant number, since it is smaller than the sum of its proper divisors (228489480).

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

97013880 is a wasteful number, since it uses less digits than its factorization.

97013880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8741 (or 8734 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 97013880 is about 9849.5624268289. The cubic root of 97013880 is about 459.4920037935.

The spelling of 97013880 in words is "ninety-seven million, thirteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 8693 11160 17386 26079 34772 43465 52158 69544 78237 86930 104316 130395 156474 173860 208632 260790 269483 312948 347720 391185 521580 538966 625896 782370 808449 1043160 1077932 1347415 1564740 1616898 2155864 2425347 2694830 3129480 3233796 4042245 4850694 5389660 6467592 8084490 9701388 10779320 12126735 16168980 19402776 24253470 32337960 48506940 97013880