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10073640 = 2335127661
BaseRepresentation
bin100110011011…
…011000101000
3200221210102210
4212123120220
510034324030
6555525120
7151424133
oct46333050
920853383
1010073640
115760525
1234597a0
132119245
1414a321a
15d3ebb0
hex99b628

10073640 has 64 divisors (see below), whose sum is σ = 30504960. Its totient is φ = 2661120.

The previous prime is 10073603. The next prime is 10073647. The reversal of 10073640 is 4637001.

It is not an unprimeable number, because it can be changed into a prime (10073647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14910 + ... + 15570.

It is an arithmetic number, because the mean of its divisors is an integer number (476640).

Almost surely, 210073640 is an apocalyptic number.

10073640 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 10073640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15252480).

10073640 is an abundant number, since it is smaller than the sum of its proper divisors (20431320).

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

10073640 is a wasteful number, since it uses less digits than its factorization.

10073640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 10073640 is about 3173.8998093828. The cubic root of 10073640 is about 215.9710180594.

The spelling of 10073640 in words is "ten million, seventy-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 661 762 1016 1270 1322 1524 1905 1983 2540 2644 3048 3305 3810 3966 5080 5288 6610 7620 7932 9915 13220 15240 15864 19830 26440 39660 79320 83947 167894 251841 335788 419735 503682 671576 839470 1007364 1259205 1678940 2014728 2518410 3357880 5036820 10073640