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101483640 = 233252291231
BaseRepresentation
bin1100000110010…
…00010001111000
321001221220101100
412003020101320
5201434434030
614023051400
72341411446
oct603102170
9231856340
10101483640
1152315185
1229ba0b60
1318042bbb
14d699b96
158d99360
hex60c8478

101483640 has 96 divisors (see below), whose sum is σ = 331531200. Its totient is φ = 26922240.

The previous prime is 101483639. The next prime is 101483647. The reversal of 101483640 is 46384101.

101483640 is a `hidden beast` number, since 1 + 0 + 14 + 8 + 3 + 640 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101483647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81825 + ... + 83055.

It is an arithmetic number, because the mean of its divisors is an integer number (3453450).

Almost surely, 2101483640 is an apocalyptic number.

101483640 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 101483640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165765600).

101483640 is an abundant number, since it is smaller than the sum of its proper divisors (230047560).

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

101483640 is a wasteful number, since it uses less digits than its factorization.

101483640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 101483640 is about 10073.9088739178. The cubic root of 101483640 is about 466.4431060704.

The spelling of 101483640 in words is "one hundred one million, four hundred eighty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 229 360 458 687 916 1145 1231 1374 1832 2061 2290 2462 2748 3435 3693 4122 4580 4924 5496 6155 6870 7386 8244 9160 9848 10305 11079 12310 13740 14772 16488 18465 20610 22158 24620 27480 29544 36930 41220 44316 49240 55395 73860 82440 88632 110790 147720 221580 281899 443160 563798 845697 1127596 1409495 1691394 2255192 2537091 2818990 3382788 4228485 5074182 5637980 6765576 8456970 10148364 11275960 12685455 16913940 20296728 25370910 33827880 50741820 101483640