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97930728 = 23337239271
BaseRepresentation
bin1011101011001…
…00110111101000
320211021101201000
411311210313220
5200032240403
613414555000
72266253220
oct565446750
9224241630
1097930728
1150308895
1228968a60
131739a99c
14d013080
1588e67a3
hex5d64de8

97930728 has 128 divisors (see below), whose sum is σ = 313344000. Its totient is φ = 27760320.

The previous prime is 97930717. The next prime is 97930733. The reversal of 97930728 is 82703979.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361233 + ... + 361503.

It is an arithmetic number, because the mean of its divisors is an integer number (2448000).

Almost surely, 297930728 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 97930728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156672000).

97930728 is an abundant number, since it is smaller than the sum of its proper divisors (215413272).

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

97930728 is a wasteful number, since it uses less digits than its factorization.

97930728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 97930728 is about 9895.9955537581. The cubic root of 97930728 is about 460.9349729395.

The spelling of 97930728 in words is "ninety-seven million, nine hundred thirty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 239 252 271 378 478 504 542 717 756 813 956 1084 1434 1512 1626 1673 1897 1912 2151 2168 2439 2868 3252 3346 3794 4302 4878 5019 5691 5736 6453 6504 6692 7317 7588 8604 9756 10038 11382 12906 13384 14634 15057 15176 17073 17208 19512 20076 22764 25812 29268 30114 34146 40152 45171 45528 51219 51624 58536 60228 64769 68292 90342 102438 120456 129538 136584 180684 194307 204876 259076 361368 388614 409752 453383 518152 582921 777228 906766 1165842 1360149 1554456 1748763 1813532 2331684 2720298 3497526 3627064 4080447 4663368 5440596 6995052 8160894 10881192 12241341 13990104 16321788 24482682 32643576 48965364 97930728