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102474372 = 2237111319449
BaseRepresentation
bin1100001101110…
…10001010000100
321010211020102010
412012322022010
5202213134442
614100214220
72353006050
oct606721204
9233736363
10102474372
1152931570
122a39a370
13182cbb30
14d876c60
158ee2b9c
hex61ba284

102474372 has 192 divisors, whose sum is σ = 338688000. Its totient is φ = 23224320.

The previous prime is 102474367. The next prime is 102474377. The reversal of 102474372 is 273474201.

It is an interprime number because it is at equal distance from previous prime (102474367) and next prime (102474377).

It is not an unprimeable number, because it can be changed into a prime (102474377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228004 + ... + 228452.

It is an arithmetic number, because the mean of its divisors is an integer number (1764000).

Almost surely, 2102474372 is an apocalyptic number.

102474372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102474372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

102474372 is an abundant number, since it is smaller than the sum of its proper divisors (236213628).

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

102474372 is a wasteful number, since it uses less digits than its factorization.

102474372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 102474372 is about 10122.9626098292. The cubic root of 102474372 is about 467.9560737500.

It can be divided in two parts, 102 and 474372, that added together give a palindrome (474474).

The spelling of 102474372 in words is "one hundred two million, four hundred seventy-four thousand, three hundred seventy-two".