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101253740 = 22572413001
BaseRepresentation
bin1100000100100…
…00001001101100
321001112020000112
412002100021230
5201410104430
614014115152
72336433260
oct602201154
9231466015
10101253740
1152178485
1229aabab8
1317c92373
14d63a0a0
158d51195
hex609026c

101253740 has 48 divisors (see below), whose sum is σ = 244098624. Its totient is φ = 34560000.

The previous prime is 101253731. The next prime is 101253769. The reversal of 101253740 is 47352101.

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, 32240 + ... + 35240.

It is an arithmetic number, because the mean of its divisors is an integer number (5085388).

Almost surely, 2101253740 is an apocalyptic number.

101253740 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 101253740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122049312).

101253740 is an abundant number, since it is smaller than the sum of its proper divisors (142844884).

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

101253740 is a wasteful number, since it uses less digits than its factorization.

101253740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 101253740 is about 10062.4917391270. The cubic root of 101253740 is about 466.0906146123.

The spelling of 101253740 in words is "one hundred one million, two hundred fifty-three thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 241 482 964 1205 1687 2410 3001 3374 4820 6002 6748 8435 12004 15005 16870 21007 30010 33740 42014 60020 84028 105035 210070 420140 723241 1446482 2892964 3616205 5062687 7232410 10125374 14464820 20250748 25313435 50626870 101253740