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97666680 = 23353721997
BaseRepresentation
bin1011101001001…
…00011001111000
320210202222111110
411310210121320
5200000313210
613405200320
72264103336
oct564443170
9223688443
1097666680
1150148471
12288600a0
1317307747
14cd84b56
158893420
hex5d24678

97666680 has 64 divisors (see below), whose sum is σ = 300932640. Its totient is φ = 25339392.

The previous prime is 97666601. The next prime is 97666703. The reversal of 97666680 is 8666679.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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, 6559 + ... + 15438.

Almost surely, 297666680 is an apocalyptic number.

It is an amenable number.

97666680 is an abundant number, since it is smaller than the sum of its proper divisors (203265960).

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

97666680 is a wasteful number, since it uses less digits than its factorization.

97666680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22048 (or 22044 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 97666680 is about 9882.6453948323. The cubic root of 97666680 is about 460.5203311778.

It can be divided in two parts, 97666 and 680, that added together give a triangular number (98346 = T443).

The spelling of 97666680 in words is "ninety-seven million, six hundred sixty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 21997 43994 65991 87988 109985 131982 175976 219970 263964 329955 439940 527928 659910 813889 879880 1319820 1627778 2441667 2639640 3255556 4069445 4883334 6511112 8138890 9766668 12208335 16277780 19533336 24416670 32555560 48833340 97666680