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102390840 = 23325377687
BaseRepresentation
bin1100001101001…
…01110000111000
321010122222211100
412012211300320
5202203001330
614054331400
72352210366
oct606456070
9233588740
10102390840
1152884832
122a359b60
131829cac6
14d854636
158ec8060
hex61a5c38

102390840 has 96 divisors (see below), whose sum is σ = 341808480. Its totient is φ = 26562816.

The previous prime is 102390833. The next prime is 102390853. The reversal of 102390840 is 48093201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9477 + ... + 17163.

It is an arithmetic number, because the mean of its divisors is an integer number (3560505).

Almost surely, 2102390840 is an apocalyptic number.

102390840 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 102390840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170904240).

102390840 is an abundant number, since it is smaller than the sum of its proper divisors (239417640).

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

102390840 is a wasteful number, since it uses less digits than its factorization.

102390840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7741 (or 7734 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102390840 is about 10118.8359014266. The cubic root of 102390840 is about 467.8288876968.

The spelling of 102390840 in words is "one hundred two million, three hundred ninety thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 7687 13320 15374 23061 30748 38435 46122 61496 69183 76870 92244 115305 138366 153740 184488 230610 276732 284419 307480 345915 461220 553464 568838 691830 853257 922440 1137676 1383660 1422095 1706514 2275352 2559771 2767320 2844190 3413028 4266285 5119542 5688380 6826056 8532570 10239084 11376760 12798855 17065140 20478168 25597710 34130280 51195420 102390840