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97676820 = 22335180883
BaseRepresentation
bin1011101001001…
…10111000010100
320210210111102000
411310212320110
5200001124240
613405315300
72264145033
oct564467024
9223714360
1097676820
115015504a
1228865b30
131730c247
14cd8871a
158896430
hex5d26e14

97676820 has 48 divisors (see below), whose sum is σ = 303885120. Its totient is φ = 26047008.

The previous prime is 97676819. The next prime is 97676863. The reversal of 97676820 is 2867679.

It is a happy number.

It is a super-2 number, since 2×976768202 = 19081522330624800, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 89902 + ... + 90981.

It is an arithmetic number, because the mean of its divisors is an integer number (6330940).

Almost surely, 297676820 is an apocalyptic number.

97676820 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97676820 is an abundant number, since it is smaller than the sum of its proper divisors (206208300).

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

97676820 is a wasteful number, since it uses less digits than its factorization.

97676820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180901 (or 180893 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 97676820 is about 9883.1584020494. The cubic root of 97676820 is about 460.5362680854.

The spelling of 97676820 in words is "ninety-seven million, six hundred seventy-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 180883 361766 542649 723532 904415 1085298 1627947 1808830 2170596 2713245 3255894 3617660 4883841 5426490 6511788 8139735 9767682 10852980 16279470 19535364 24419205 32558940 48838410 97676820