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101374340 = 22523317109
BaseRepresentation
bin1100000101011…
…01100110000100
321001202100110012
412002231212010
5201422434330
614020445352
72340445004
oct602554604
9231670405
10101374340
1152250051
1229b49858
1318005222
14d66c004
158d76c95
hex60ad984

101374340 has 48 divisors (see below), whose sum is σ = 229340160. Its totient is φ = 37530240.

The previous prime is 101374307. The next prime is 101374369. The reversal of 101374340 is 43473101.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10706 + ... + 17814.

It is an arithmetic number, because the mean of its divisors is an integer number (4777920).

Almost surely, 2101374340 is an apocalyptic number.

101374340 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 101374340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114670080).

101374340 is an abundant number, since it is smaller than the sum of its proper divisors (127965820).

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

101374340 is a wasteful number, since it uses less digits than its factorization.

101374340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7172 (or 7170 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 101374340 is about 10068.4825073096. The cubic root of 101374340 is about 466.2755895938.

The spelling of 101374340 in words is "one hundred one million, three hundred seventy-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 713 1426 2852 3565 7109 7130 14218 14260 28436 35545 71090 142180 163507 220379 327014 440758 654028 817535 881516 1101895 1635070 2203790 3270140 4407580 5068717 10137434 20274868 25343585 50687170 101374340