Search a number
-
+
102374928 = 243667131
BaseRepresentation
bin1100001101000…
…01111000010000
321010122012000000
412012201320100
5202201444203
614054130000
72352113115
oct606417020
9233565000
10102374928
1152873887
122a350900
13182957a6
14d84c90c
158ec34a3
hex61a1e10

102374928 has 140 divisors (see below), whose sum is σ = 304133808. Its totient is φ = 33359040.

The previous prime is 102374917. The next prime is 102375043. The reversal of 102374928 is 829473201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 102374892 and 102374901.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 781423 + ... + 781553.

Almost surely, 2102374928 is an apocalyptic number.

102374928 is a gapful number since it is divisible by the number (18) 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 102374928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152066904).

102374928 is an abundant number, since it is smaller than the sum of its proper divisors (201758880).

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

102374928 is an equidigital number, since it uses as much as digits as its factorization.

102374928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 102374928 is about 10118.0496144267. The cubic root of 102374928 is about 467.8046521991.

The spelling of 102374928 in words is "one hundred two million, three hundred seventy-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 81 108 131 134 144 162 201 216 243 262 268 324 393 402 432 486 524 536 603 648 729 786 804 972 1048 1072 1179 1206 1296 1458 1572 1608 1809 1944 2096 2358 2412 2916 3144 3216 3537 3618 3888 4716 4824 5427 5832 6288 7074 7236 8777 9432 9648 10611 10854 11664 14148 14472 16281 17554 18864 21222 21708 26331 28296 28944 31833 32562 35108 42444 43416 48843 52662 56592 63666 65124 70216 78993 84888 86832 95499 97686 105324 127332 130248 140432 157986 169776 190998 195372 210648 236979 254664 260496 315972 381996 390744 421296 473958 509328 631944 710937 763992 781488 947916 1263888 1421874 1527984 1895832 2132811 2843748 3791664 4265622 5687496 6398433 8531244 11374992 12796866 17062488 25593732 34124976 51187464 102374928