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101392320 = 2635313407
BaseRepresentation
bin1100000101100…
…01111111000000
321001210021010010
412002301333000
5201424023240
614021104520
72340551301
oct602617700
9231707103
10101392320
1152262607
1229b58140
1318010473
14d6747a8
158d7c280
hex60b1fc0

101392320 has 112 divisors (see below), whose sum is σ = 332402688. Its totient is φ = 26158080.

The previous prime is 101392253. The next prime is 101392337. The reversal of 101392320 is 23293101.

It is a happy number.

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, 28057 + ... + 31463.

Almost surely, 2101392320 is an apocalyptic number.

101392320 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 101392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166201344).

101392320 is an abundant number, since it is smaller than the sum of its proper divisors (231010368).

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

101392320 is a wasteful number, since it uses less digits than its factorization.

101392320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 101392320 is about 10069.3753530197. The cubic root of 101392320 is about 466.3031545558.

The spelling of 101392320 in words is "one hundred one million, three hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1984 2480 2976 3407 3720 4960 5952 6814 7440 9920 10221 13628 14880 17035 20442 27256 29760 34070 40884 51105 54512 68140 81768 102210 105617 109024 136280 163536 204420 211234 218048 272560 316851 327072 408840 422468 528085 545120 633702 654144 817680 844936 1056170 1090240 1267404 1584255 1635360 1689872 2112340 2534808 3168510 3270720 3379744 4224680 5069616 6337020 6759488 8449360 10139232 12674040 16898720 20278464 25348080 33797440 50696160 101392320