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102150440 = 23571093347
BaseRepresentation
bin1100001011010…
…11000100101000
321010012210001122
412011223010220
5202122303230
614045234412
72350156460
oct605530450
9233183048
10102150440
1152730157
122a262a08
1318217562
14d7d0ba0
158e7bbe5
hex616b128

102150440 has 64 divisors (see below), whose sum is σ = 265161600. Its totient is φ = 34691328.

The previous prime is 102150431. The next prime is 102150457. The reversal of 102150440 is 44051201.

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 15 ways as a sum of consecutive naturals, for example, 28847 + ... + 32193.

It is an arithmetic number, because the mean of its divisors is an integer number (4143150).

Almost surely, 2102150440 is an apocalyptic number.

102150440 is a gapful number since it is divisible by the number (10) 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 102150440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132580800).

102150440 is an abundant number, since it is smaller than the sum of its proper divisors (163011160).

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

102150440 is a wasteful number, since it uses less digits than its factorization.

102150440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 102150440 is about 10106.9500839769. The cubic root of 102150440 is about 467.4624675560.

The spelling of 102150440 in words is "one hundred two million, one hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 109 140 218 280 436 545 763 872 1090 1526 2180 3052 3347 3815 4360 6104 6694 7630 13388 15260 16735 23429 26776 30520 33470 46858 66940 93716 117145 133880 187432 234290 364823 468580 729646 937160 1459292 1824115 2553761 2918584 3648230 5107522 7296460 10215044 12768805 14592920 20430088 25537610 51075220 102150440