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101662480 = 2455323977
BaseRepresentation
bin1100000111100…
…11111100010000
321002021222201001
412003303330100
5202011144410
614030551344
72343055033
oct603637420
9232258631
10101662480
1152427587
122a068554
13180a641a
14d70501a
158dd233a
hex60f3f10

101662480 has 40 divisors (see below), whose sum is σ = 240835032. Its totient is φ = 39896064.

The previous prime is 101662471. The next prime is 101662523. The reversal of 101662480 is 84266101.

It can be written as a sum of positive squares in 4 ways, for example, as 15618304 + 86044176 = 3952^2 + 9276^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 7749 + ... + 16228.

Almost surely, 2101662480 is an apocalyptic number.

101662480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101662480 is an abundant number, since it is smaller than the sum of its proper divisors (139172552).

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

101662480 is a wasteful number, since it uses less digits than its factorization.

101662480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24043 (or 24037 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 101662480 is about 10082.7813623028. The cubic root of 101662480 is about 466.7169424292.

The spelling of 101662480 in words is "one hundred one million, six hundred sixty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 23977 47954 95908 119885 191816 239770 383632 479540 959080 1270781 1918160 2541562 5083124 6353905 10166248 12707810 20332496 25415620 50831240 101662480