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102426150 = 23521983433
BaseRepresentation
bin1100001101011…
…10011000100110
321010201210021010
412012232120212
5202210114100
614055203050
72352415341
oct606563046
9233653233
10102426150
11528a9312
122a376486
13182b2bb8
14d863458
158ed3750
hex61ae626

102426150 has 96 divisors (see below), whose sum is σ = 271232640. Its totient is φ = 25505280.

The previous prime is 102426143. The next prime is 102426161. The reversal of 102426150 is 51624201.

It is a super-2 number, since 2×1024261502 = 20982232407645000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 236334 + ... + 236766.

It is an arithmetic number, because the mean of its divisors is an integer number (2825340).

Almost surely, 2102426150 is an apocalyptic number.

102426150 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 102426150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135616320).

102426150 is an abundant number, since it is smaller than the sum of its proper divisors (168806490).

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

102426150 is a wasteful number, since it uses less digits than its factorization.

102426150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 102426150 is about 10120.5805169466. The cubic root of 102426150 is about 467.8826592370.

The spelling of 102426150 in words is "one hundred two million, four hundred twenty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 83 95 114 150 166 190 249 285 415 433 475 498 570 830 866 950 1245 1299 1425 1577 2075 2165 2490 2598 2850 3154 4150 4330 4731 6225 6495 7885 8227 9462 10825 12450 12990 15770 16454 21650 23655 24681 32475 35939 39425 41135 47310 49362 64950 71878 78850 82270 107817 118275 123405 179695 205675 215634 236550 246810 359390 411350 539085 617025 682841 898475 1078170 1234050 1365682 1796950 2048523 2695425 3414205 4097046 5390850 6828410 10242615 17071025 20485230 34142050 51213075 102426150