Search a number
-
+
100597830 = 23514512311
BaseRepresentation
bin1011111111100…
…00000001000110
321000021220021120
411333300001012
5201223112310
613552054410
72331032064
oct577600106
9230256246
10100597830
115186a703
1229834406
1317ac2958
14d509034
158c71b70
hex5ff0046

100597830 has 32 divisors (see below), whose sum is σ = 241705728. Its totient is φ = 26796000.

The previous prime is 100597829. The next prime is 100597831. The reversal of 100597830 is 38795001.

It is an interprime number because it is at equal distance from previous prime (100597829) and next prime (100597831).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100597791 and 100597800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100597831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42375 + ... + 44685.

It is an arithmetic number, because the mean of its divisors is an integer number (7553304).

Almost surely, 2100597830 is an apocalyptic number.

100597830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100597830 is an abundant number, since it is smaller than the sum of its proper divisors (141107898).

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

100597830 is a wasteful number, since it uses less digits than its factorization.

100597830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 100597830 is about 10029.8469579550. The cubic root of 100597830 is about 465.0820065795.

The spelling of 100597830 in words is "one hundred million, five hundred ninety-seven thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 1451 2311 2902 4353 4622 6933 7255 8706 11555 13866 14510 21765 23110 34665 43530 69330 3353261 6706522 10059783 16766305 20119566 33532610 50298915 100597830