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100620520 = 235721113359
BaseRepresentation
bin1011111111101…
…01100011101000
321000100001101221
411333311203220
5201224324040
613552351424
72331155200
oct577654350
9230301357
10100620520
1151885760
1229845574
1317b00090
14d513400
158c7874a
hex5ff58e8

100620520 has 192 divisors, whose sum is σ = 310262400. Its totient is φ = 28869120.

The previous prime is 100620503. The next prime is 100620551. The reversal of 100620520 is 25026001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100620494 and 100620503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280101 + ... + 280459.

It is an arithmetic number, because the mean of its divisors is an integer number (1615950).

Almost surely, 2100620520 is an apocalyptic number.

100620520 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 100620520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155131200).

100620520 is an abundant number, since it is smaller than the sum of its proper divisors (209641880).

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

100620520 is a wasteful number, since it uses less digits than its factorization.

100620520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 100620520 is about 10030.9780181197. The cubic root of 100620520 is about 465.1169706122.

Adding to 100620520 its reverse (25026001), we get a palindrome (125646521).

The spelling of 100620520 in words is "one hundred million, six hundred twenty thousand, five hundred twenty".