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97453620 = 223251183593
BaseRepresentation
bin1011100111100…
…00011000110100
320210101011020100
411303300120310
5144422003440
613400434100
72262225225
oct563603064
9223334210
1097453620
1150012390
1228778930
1317261784
14cd2b24c
158850230
hex5cf0634

97453620 has 144 divisors (see below), whose sum is σ = 326918592. Its totient is φ = 23301120.

The previous prime is 97453583. The next prime is 97453627. The reversal of 97453620 is 2635479.

It is a super-3 number, since 3×974536203 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (97453627) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 164044 + ... + 164636.

It is an arithmetic number, because the mean of its divisors is an integer number (2270268).

Almost surely, 297453620 is an apocalyptic number.

97453620 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 97453620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163459296).

97453620 is an abundant number, since it is smaller than the sum of its proper divisors (229464972).

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

97453620 is a wasteful number, since it uses less digits than its factorization.

97453620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 97453620 is about 9871.8600071111. The cubic root of 97453620 is about 460.1852121216.

The spelling of 97453620 in words is "ninety-seven million, four hundred fifty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 83 90 99 110 132 165 166 180 198 220 249 330 332 396 415 495 498 593 660 747 830 913 990 996 1186 1245 1494 1660 1779 1826 1980 2372 2490 2739 2965 2988 3558 3652 3735 4565 4980 5337 5478 5930 6523 7116 7470 8217 8895 9130 10674 10956 11860 13046 13695 14940 16434 17790 18260 19569 21348 26092 26685 27390 32615 32868 35580 39138 41085 49219 53370 54780 58707 65230 78276 82170 97845 98438 106740 117414 130460 147657 164340 195690 196876 234828 246095 293535 295314 391380 442971 492190 541409 587070 590628 738285 885942 984380 1082818 1174140 1476570 1624227 1771884 2165636 2214855 2707045 2953140 3248454 4429710 4872681 5414090 6496908 8121135 8859420 9745362 10828180 16242270 19490724 24363405 32484540 48726810 97453620