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102156450 = 235211101613
BaseRepresentation
bin1100001011011…
…00100010100010
321010020002022020
412011230202202
5202123001300
614045322310
72350213134
oct605544242
9233202266
10102156450
1152734720
122a266396
131821a206
14d7d3054
158e7d8a0
hex616c8a2

102156450 has 96 divisors (see below), whose sum is σ = 279571392. Its totient is φ = 24480000.

The previous prime is 102156449. The next prime is 102156463. The reversal of 102156450 is 54651201.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 102156450.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 166344 + ... + 166956.

It is an arithmetic number, because the mean of its divisors is an integer number (2912202).

Almost surely, 2102156450 is an apocalyptic number.

102156450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102156450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139785696).

102156450 is an abundant number, since it is smaller than the sum of its proper divisors (177414942).

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

102156450 is a wasteful number, since it uses less digits than its factorization.

102156450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 102156450 is about 10107.2473997622. The cubic root of 102156450 is about 467.4716350621.

The spelling of 102156450 in words is "one hundred two million, one hundred fifty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 101 110 150 165 202 275 303 330 505 550 606 613 825 1010 1111 1226 1515 1650 1839 2222 2525 3030 3065 3333 3678 5050 5555 6130 6666 6743 7575 9195 11110 13486 15150 15325 16665 18390 20229 27775 30650 33330 33715 40458 45975 55550 61913 67430 83325 91950 101145 123826 166650 168575 185739 202290 309565 337150 371478 505725 619130 681043 928695 1011450 1362086 1547825 1857390 2043129 3095650 3405215 4086258 4643475 6810430 9286950 10215645 17026075 20431290 34052150 51078225 102156450