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101679420 = 22355928723
BaseRepresentation
bin1100000111110…
…00000100111100
321002022211221110
412003320010330
5202012220140
614031202020
72343155313
oct603700474
9232284843
10101679420
1152439287
122a076310
13180b104b
14d70b27a
158dd7380
hex60f813c

101679420 has 48 divisors (see below), whose sum is σ = 289537920. Its totient is φ = 26654016.

The previous prime is 101679419. The next prime is 101679421. The reversal of 101679420 is 24976101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101679419) and next prime (101679421).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101679421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10822 + ... + 17901.

It is an arithmetic number, because the mean of its divisors is an integer number (6032040).

Almost surely, 2101679420 is an apocalyptic number.

101679420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101679420 is an abundant number, since it is smaller than the sum of its proper divisors (187858500).

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

101679420 is a wasteful number, since it uses less digits than its factorization.

101679420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28794 (or 28792 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 101679420 is about 10083.6213732964. The cubic root of 101679420 is about 466.7428639751.

The spelling of 101679420 in words is "one hundred one million, six hundred seventy-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 28723 57446 86169 114892 143615 172338 287230 344676 430845 574460 861690 1694657 1723380 3389314 5083971 6778628 8473285 10167942 16946570 20335884 25419855 33893140 50839710 101679420