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97980570 = 23354153167
BaseRepresentation
bin1011101011100…
…01000010011010
320211100221002000
411311301002122
5200040334240
613420021430
72266551432
oct565610232
9224327060
1097980570
1150342286
1228991876
13173b758c
14d0272c2
158906430
hex5d7109a

97980570 has 128 divisors (see below), whose sum is σ = 274337280. Its totient is φ = 24860160.

The previous prime is 97980563. The next prime is 97980577. The reversal of 97980570 is 7508979.

97980570 is a `hidden beast` number, since 9 + 79 + 8 + 0 + 570 = 666.

It is an interprime number because it is at equal distance from previous prime (97980563) and next prime (97980577).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (97980577) 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 63 ways as a sum of consecutive naturals, for example, 586627 + ... + 586793.

It is an arithmetic number, because the mean of its divisors is an integer number (2143260).

Almost surely, 297980570 is an apocalyptic number.

97980570 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97980570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137168640).

97980570 is an abundant number, since it is smaller than the sum of its proper divisors (176356710).

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

97980570 is a wasteful number, since it uses less digits than its factorization.

97980570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The square root of 97980570 is about 9898.5135247672. The cubic root of 97980570 is about 461.0131575398.

The spelling of 97980570 in words is "ninety-seven million, nine hundred eighty thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 53 54 82 90 106 123 135 159 167 205 246 265 270 318 334 369 410 477 501 530 615 738 795 835 954 1002 1107 1230 1431 1503 1590 1670 1845 2173 2214 2385 2505 2862 3006 3690 4346 4509 4770 5010 5535 6519 6847 7155 7515 8851 9018 10865 11070 13038 13694 14310 15030 17702 19557 20541 21730 22545 26553 32595 34235 39114 41082 44255 45090 53106 58671 61623 65190 68470 79659 88510 97785 102705 117342 123246 132765 159318 184869 195570 205410 238977 265530 293355 308115 362891 369738 398295 477954 586710 616230 725782 796590 924345 1088673 1194885 1814455 1848690 2177346 2389770 3266019 3628910 5443365 6532038 9798057 10886730 16330095 19596114 32660190 48990285 97980570