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97914420 = 2235520147
BaseRepresentation
bin1011101011000…
…00111000110100
320211020120100000
411311200320310
5200031230140
613414351300
72266154532
oct565407064
9224216300
1097914420
11502a760a
122895b530
1317393436
14d00b152
1588e1a30
hex5d60e34

97914420 has 72 divisors (see below), whose sum is σ = 308022624. Its totient is φ = 26109216.

The previous prime is 97914409. The next prime is 97914433. The reversal of 97914420 is 2441979.

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

It is a congruent number.

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, 5214 + ... + 14933.

It is an arithmetic number, because the mean of its divisors is an integer number (4278092).

Almost surely, 297914420 is an apocalyptic number.

97914420 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97914420 is an abundant number, since it is smaller than the sum of its proper divisors (210108204).

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

97914420 is a wasteful number, since it uses less digits than its factorization.

97914420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20171 (or 20157 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 97914420 is about 9895.1715498014. The cubic root of 97914420 is about 460.9093856528.

Subtracting from 97914420 its reverse (2441979), we obtain a square (95472441 = 97712).

The spelling of 97914420 in words is "ninety-seven million, nine hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 20147 40294 60441 80588 100735 120882 181323 201470 241764 302205 362646 402940 543969 604410 725292 906615 1087938 1208820 1631907 1813230 2175876 2719845 3263814 3626460 4895721 5439690 6527628 8159535 9791442 10879380 16319070 19582884 24478605 32638140 48957210 97914420