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10067390200 = 2352713752489
BaseRepresentation
bin10010110000001000…
…00010111011111000
3221222121120102002201
421120010002323320
5131104222441300
64342551035544
7504323255560
oct113004027370
927877512081
1010067390200
1142a686329a
121b4b66bbb4
13c4595412a
146b70a5da0
153ddc7066a
hex258102ef8

10067390200 has 96 divisors (see below), whose sum is σ = 26946266400. Its totient is φ = 3426416640.

The previous prime is 10067390189. The next prime is 10067390209. The reversal of 10067390200 is 209376001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10067390209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165556 + ... + 218044.

It is an arithmetic number, because the mean of its divisors is an integer number (280690275).

Almost surely, 210067390200 is an apocalyptic number.

10067390200 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 10067390200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13473133200).

10067390200 is an abundant number, since it is smaller than the sum of its proper divisors (16878876200).

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

10067390200 is a wasteful number, since it uses less digits than its factorization.

10067390200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52649 (or 52640 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The spelling of 10067390200 in words is "ten billion, sixty-seven million, three hundred ninety thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 137 140 175 200 274 280 350 548 685 700 959 1096 1370 1400 1918 2740 3425 3836 4795 5480 6850 7672 9590 13700 19180 23975 27400 38360 47950 52489 95900 104978 191800 209956 262445 367423 419912 524890 734846 1049780 1312225 1469692 1837115 2099560 2624450 2939384 3674230 5248900 7190993 7348460 9185575 10497800 14381986 14696920 18371150 28763972 35954965 36742300 50336951 57527944 71909930 73484600 100673902 143819860 179774825 201347804 251684755 287639720 359549650 402695608 503369510 719099300 1006739020 1258423775 1438198600 2013478040 2516847550 5033695100 10067390200