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10187380 = 225772767
BaseRepresentation
bin100110110111…
…001001110100
3201011120110101
4212313021310
510101444010
61002203444
7152406550
oct46671164
921146411
1010187380
115828a25
1234b3584
132158c48
1414d2860
15d6373a
hex9b7274

10187380 has 24 divisors (see below), whose sum is σ = 24450048. Its totient is φ = 3492768.

The previous prime is 10187371. The next prime is 10187383. The reversal of 10187380 is 8378101.

It is a happy number.

It is a super-2 number, since 2×101873802 = 207565422528800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10187383) by changing a digit.

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, 36244 + ... + 36523.

It is an arithmetic number, because the mean of its divisors is an integer number (1018752).

Almost surely, 210187380 is an apocalyptic number.

10187380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10187380 is an abundant number, since it is smaller than the sum of its proper divisors (14262668).

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

10187380 is a wasteful number, since it uses less digits than its factorization.

10187380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72783 (or 72781 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 10187380 is about 3191.7675353948. The cubic root of 10187380 is about 216.7808103366.

The spelling of 10187380 in words is "ten million, one hundred eighty-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 72767 145534 291068 363835 509369 727670 1018738 1455340 2037476 2546845 5093690 10187380