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196357680 = 24325272719
BaseRepresentation
bin10111011010000…
…10111000110000
3111200111000002200
423231002320300
5400231421210
631252343200
74603004241
oct1355027060
9450430080
10196357680
11a0925482
1255914b00
13318b049c
141c114cc8
151238a0c0
hexbb42e30

196357680 has 60 divisors (see below), whose sum is σ = 659436960. Its totient is φ = 52361856.

The previous prime is 196357661. The next prime is 196357691. The reversal of 196357680 is 86753691.

It is a happy number.

196357680 is a `hidden beast` number, since 1 + 9 + 635 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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

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 11 ways as a sum of consecutive naturals, for example, 135640 + ... + 137079.

It is an arithmetic number, because the mean of its divisors is an integer number (10990616).

Almost surely, 2196357680 is an apocalyptic number.

196357680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196357680 is an abundant number, since it is smaller than the sum of its proper divisors (463079280).

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

196357680 is a wasteful number, since it uses less digits than its factorization.

196357680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272738 (or 272729 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 196357680 is about 14012.7684630839. The cubic root of 196357680 is about 581.2317066737.

The spelling of 196357680 in words is "one hundred ninety-six million, three hundred fifty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 272719 545438 818157 1090876 1363595 1636314 2181752 2454471 2727190 3272628 4090785 4363504 4908942 5454380 6545256 8181570 9817884 10908760 12272355 13090512 16363140 19635768 21817520 24544710 32726280 39271536 49089420 65452560 98178840 196357680