Search a number
-
+
102256320 = 2635293673
BaseRepresentation
bin1100001100001…
…00111011000000
321010102011022010
412012010323000
5202134200240
614051412520
72351110245
oct606047300
9233364263
10102256320
11527a2761
122a2b4140
13182537ca
14d81b5cc
158e9d280
hex6184ec0

102256320 has 112 divisors (see below), whose sum is σ = 335950560. Its totient is φ = 26320896.

The previous prime is 102256307. The next prime is 102256351. The reversal of 102256320 is 23652201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26004 + ... + 29676.

Almost surely, 2102256320 is an apocalyptic number.

102256320 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 102256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167975280).

102256320 is an abundant number, since it is smaller than the sum of its proper divisors (233694240).

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

102256320 is a wasteful number, since it uses less digits than its factorization.

102256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3722 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 102256320 is about 10112.1867071371. The cubic root of 102256320 is about 467.6239216990.

The spelling of 102256320 in words is "one hundred two million, two hundred fifty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 145 160 174 192 232 240 290 320 348 435 464 480 580 696 870 928 960 1160 1392 1740 1856 2320 2784 3480 3673 4640 5568 6960 7346 9280 11019 13920 14692 18365 22038 27840 29384 36730 44076 55095 58768 73460 88152 106517 110190 117536 146920 176304 213034 220380 235072 293840 319551 352608 426068 440760 532585 587680 639102 705216 852136 881520 1065170 1175360 1278204 1597755 1704272 1763040 2130340 2556408 3195510 3408544 3526080 4260680 5112816 6391020 6817088 8521360 10225632 12782040 17042720 20451264 25564080 34085440 51128160 102256320