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101487930 = 2351929371
BaseRepresentation
bin1100000110010…
…01010100111010
321001222010021020
412003021110322
5201440103210
614023123310
72341430115
oct603112472
9231863236
10101487930
1152318425
1229ba3536
1318044b3b
14d69b57c
158d9a770
hex60c953a

101487930 has 48 divisors (see below), whose sum is σ = 257092704. Its totient is φ = 25636320.

The previous prime is 101487877. The next prime is 101487941. The reversal of 101487930 is 39784101.

It is a junction number, because it is equal to n+sod(n) for n = 101487891 and 101487900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6145 + ... + 15515.

It is an arithmetic number, because the mean of its divisors is an integer number (5356098).

Almost surely, 2101487930 is an apocalyptic number.

101487930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101487930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128546352).

101487930 is an abundant number, since it is smaller than the sum of its proper divisors (155604774).

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

101487930 is a wasteful number, since it uses less digits than its factorization.

101487930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9419 (or 9400 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 101487930 is about 10074.1217979534. The cubic root of 101487930 is about 466.4496786002.

The spelling of 101487930 in words is "one hundred one million, four hundred eighty-seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 361 570 722 1083 1805 2166 3610 5415 9371 10830 18742 28113 46855 56226 93710 140565 178049 281130 356098 534147 890245 1068294 1780490 2670735 3382931 5341470 6765862 10148793 16914655 20297586 33829310 50743965 101487930