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97662040 = 2357536581
BaseRepresentation
bin1011101001000…
…11010001011000
320210202202010121
411310203101120
5200000141130
613405123024
72264053660
oct564432130
9223682117
1097662040
1150144a33
1228859474
13173055b8
14cd831a0
158891d7a
hex5d23458

97662040 has 64 divisors (see below), whose sum is σ = 255908160. Its totient is φ = 32847360.

The previous prime is 97662023. The next prime is 97662043. The reversal of 97662040 is 4026679.

It is a junction number, because it is equal to n+sod(n) for n = 97661987 and 97662005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97662043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11550 + ... + 18130.

It is an arithmetic number, because the mean of its divisors is an integer number (3998565).

Almost surely, 297662040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97662040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127954080).

97662040 is an abundant number, since it is smaller than the sum of its proper divisors (158246120).

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

97662040 is a wasteful number, since it uses less digits than its factorization.

97662040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6652 (or 6648 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 97662040 is about 9882.4106370865. The cubic root of 97662040 is about 460.5130381816.

The spelling of 97662040 in words is "ninety-seven million, six hundred sixty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 1060 1484 1855 2120 2968 3710 6581 7420 13162 14840 26324 32905 46067 52648 65810 92134 131620 184268 230335 263240 348793 368536 460670 697586 921340 1395172 1743965 1842680 2441551 2790344 3487930 4883102 6975860 9766204 12207755 13951720 19532408 24415510 48831020 97662040