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101922940 = 22572104003
BaseRepresentation
bin1100001001100…
…11100001111100
321002210012222201
412010303201330
5202043013230
614040321244
72345221300
oct604634174
9232705881
10101922940
1152595239
122a173224
1318167b42
14d771d00
158e345ca
hex613387c

101922940 has 36 divisors (see below), whose sum is σ = 248985576. Its totient is φ = 34944672.

The previous prime is 101922937. The next prime is 101922941. The reversal of 101922940 is 49229101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 101922899 and 101922908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101922941) 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 11 ways as a sum of consecutive naturals, for example, 51022 + ... + 52981.

It is an arithmetic number, because the mean of its divisors is an integer number (6916266).

Almost surely, 2101922940 is an apocalyptic number.

101922940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101922940 is an abundant number, since it is smaller than the sum of its proper divisors (147062636).

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

101922940 is a wasteful number, since it uses less digits than its factorization.

101922940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104026 (or 104017 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 101922940 is about 10095.6891790506. The cubic root of 101922940 is about 467.1151799070.

The spelling of 101922940 in words is "one hundred one million, nine hundred twenty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 104003 208006 416012 520015 728021 1040030 1456042 2080060 2912084 3640105 5096147 7280210 10192294 14560420 20384588 25480735 50961470 101922940