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102662040 = 23351365809
BaseRepresentation
bin1100001111001…
…11111110011000
321011011202211210
412013213332120
5202240141130
614104223120
72354420145
oct607477630
9234152753
10102662040
1152a4a568
122a46aaa0
1318366390
14d8c53cc
15902d5b0
hex61e7f98

102662040 has 64 divisors (see below), whose sum is σ = 331682400. Its totient is φ = 25270272.

The previous prime is 102662029. The next prime is 102662047. The reversal of 102662040 is 40266201.

It is a happy number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 102661998 and 102662016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102662047) 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, 31345 + ... + 34464.

Almost surely, 2102662040 is an apocalyptic number.

102662040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102662040 is an abundant number, since it is smaller than the sum of its proper divisors (229020360).

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

102662040 is a wasteful number, since it uses less digits than its factorization.

102662040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65836 (or 65832 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 102662040 is about 10132.2277905700. The cubic root of 102662040 is about 468.2415656989.

The spelling of 102662040 in words is "one hundred two million, six hundred sixty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 65809 131618 197427 263236 329045 394854 526472 658090 789708 855517 987135 1316180 1579416 1711034 1974270 2566551 2632360 3422068 3948540 4277585 5133102 6844136 7897080 8555170 10266204 12832755 17110340 20532408 25665510 34220680 51331020 102662040