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101392452 = 22337433119
BaseRepresentation
bin1100000101100…
…10000001000100
321001210021022000
412002302001010
5201424024302
614021105300
72340551550
oct602620104
9231707260
10101392452
1152262717
1229b58230
1318010545
14d674860
158d7c31c
hex60b2044

101392452 has 96 divisors (see below), whose sum is σ = 307507200. Its totient is φ = 28286496.

The previous prime is 101392433. The next prime is 101392453. The reversal of 101392452 is 254293101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101392453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30949 + ... + 34067.

It is an arithmetic number, because the mean of its divisors is an integer number (3203200).

Almost surely, 2101392452 is an apocalyptic number.

101392452 is a gapful number since it is divisible by the number (12) 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 101392452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153753600).

101392452 is an abundant number, since it is smaller than the sum of its proper divisors (206114748).

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

101392452 is a wasteful number, since it uses less digits than its factorization.

101392452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 101392452 is about 10069.3819075453. The cubic root of 101392452 is about 466.3033569117.

The spelling of 101392452 in words is "one hundred one million, three hundred ninety-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 84 86 108 126 129 172 189 252 258 301 378 387 516 602 756 774 903 1161 1204 1548 1806 2322 2709 3119 3612 4644 5418 6238 8127 9357 10836 12476 16254 18714 21833 28071 32508 37428 43666 56142 65499 84213 87332 112284 130998 134117 168426 196497 261996 268234 336852 392994 402351 536468 589491 785988 804702 938819 1178982 1207053 1609404 1877638 2357964 2414106 2816457 3621159 3755276 4828212 5632914 7242318 8449371 11265828 14484636 16898742 25348113 33797484 50696226 101392452