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197457920 = 2115111753
BaseRepresentation
bin10111100010011…
…11100000000000
3111202112220100022
423301033200000
5401022123140
631332113012
74615236032
oct1361174000
9452486308
10197457920
11a1507070
1256165768
1331ba720a
141c31dc52
15125060b5
hexbc4f800

197457920 has 96 divisors (see below), whose sum is σ = 517149360. Its totient is φ = 71761920.

The previous prime is 197457881. The next prime is 197457971. The reversal of 197457920 is 29754791.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 111764 + ... + 113516.

Almost surely, 2197457920 is an apocalyptic number.

197457920 is a gapful number since it is divisible by the number (10) 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 197457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258574680).

197457920 is an abundant number, since it is smaller than the sum of its proper divisors (319691440).

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

197457920 is a wasteful number, since it uses less digits than its factorization.

197457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 44.

The square root of 197457920 is about 14051.9721035875. The cubic root of 197457920 is about 582.3152797105.

The spelling of 197457920 in words is "one hundred ninety-seven million, four hundred fifty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1753 1760 2048 2560 2816 3506 3520 5120 5632 7012 7040 8765 10240 11264 14024 14080 17530 19283 22528 28048 28160 35060 38566 56096 56320 70120 77132 96415 112192 112640 140240 154264 192830 224384 280480 308528 385660 448768 560960 617056 771320 897536 1121920 1234112 1542640 1795072 2243840 2468224 3085280 3590144 4487680 4936448 6170560 8975360 9872896 12341120 17950720 19745792 24682240 39491584 49364480 98728960 197457920