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102432552 = 23347711279
BaseRepresentation
bin1100001101011…
…11111100101000
321010202010001020
412012233330220
5202210320202
614055252440
72352443115
oct606577450
9233663036
10102432552
1152903102
122a37a120
13182b5aa1
14d86590c
158ed55bc
hex61aff28

102432552 has 64 divisors (see below), whose sum is σ = 265420800. Its totient is φ = 32921280.

The previous prime is 102432529. The next prime is 102432557. The reversal of 102432552 is 255234201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (102432557) 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, 79449 + ... + 80727.

It is an arithmetic number, because the mean of its divisors is an integer number (4147200).

Almost surely, 2102432552 is an apocalyptic number.

102432552 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 102432552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132710400).

102432552 is an abundant number, since it is smaller than the sum of its proper divisors (162988248).

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

102432552 is a wasteful number, since it uses less digits than its factorization.

102432552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 102432552 is about 10120.8967982091. The cubic root of 102432552 is about 467.8924071460.

Adding to 102432552 its reverse (255234201), we get a palindrome (357666753).

The spelling of 102432552 in words is "one hundred two million, four hundred thirty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 47 71 94 141 142 188 213 282 284 376 426 564 568 852 1128 1279 1704 2558 3337 3837 5116 6674 7674 10011 10232 13348 15348 20022 26696 30696 40044 60113 80088 90809 120226 180339 181618 240452 272427 360678 363236 480904 544854 721356 726472 1089708 1442712 2179416 4268023 8536046 12804069 17072092 25608138 34144184 51216276 102432552