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104154640 = 2451817193
BaseRepresentation
bin1100011010101…
…00011000010000
321020222121022021
412031110120100
5203130422030
614200221224
72403204562
oct615243020
9236877267
10104154640
1153879a17
122aa6a814
1318769885
14db93332
15922597a
hex6354610

104154640 has 40 divisors (see below), whose sum is σ = 243531288. Its totient is φ = 41425920.

The previous prime is 104154613. The next prime is 104154641. The reversal of 104154640 is 46451401.

It can be written as a sum of positive squares in 4 ways, for example, as 8271376 + 95883264 = 2876^2 + 9792^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (104154641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10884 + ... + 18076.

Almost surely, 2104154640 is an apocalyptic number.

104154640 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 104154640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121765644).

104154640 is an abundant number, since it is smaller than the sum of its proper divisors (139376648).

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

104154640 is a wasteful number, since it uses less digits than its factorization.

104154640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7387 (or 7381 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 104154640 is about 10205.6180606566. The cubic root of 104154640 is about 470.4999057010.

The spelling of 104154640 in words is "one hundred four million, one hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 724 905 1448 1810 2896 3620 7193 7240 14386 14480 28772 35965 57544 71930 115088 143860 287720 575440 1301933 2603866 5207732 6509665 10415464 13019330 20830928 26038660 52077320 104154640