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10190032740 = 2233525175181
BaseRepresentation
bin10010111110101111…
…11000111101100100
3222022011100022001000
421133113320331210
5131332122021430
64403051433300
7510342564156
oct113727707544
928264308030
1010190032740
11435a00a468
121b84755830
13c65194a94
146c94acad6
153e98e8e60
hex25f5f8f64

10190032740 has 96 divisors (see below), whose sum is σ = 31829051520. Its totient is φ = 2706480000.

The previous prime is 10190032733. The next prime is 10190032799. The reversal of 10190032740 is 4723009101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97950 + ... + 173130.

It is an arithmetic number, because the mean of its divisors is an integer number (331552620).

Almost surely, 210190032740 is an apocalyptic number.

10190032740 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 10190032740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15914525760).

10190032740 is an abundant number, since it is smaller than the sum of its proper divisors (21639018780).

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

10190032740 is a wasteful number, since it uses less digits than its factorization.

10190032740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75450 (or 75442 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 10190032740 in words is "ten billion, one hundred ninety million, thirty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 251 270 502 540 753 1004 1255 1506 2259 2510 3012 3765 4518 5020 6777 7530 9036 11295 13554 15060 22590 27108 33885 45180 67770 75181 135540 150362 225543 300724 375905 451086 676629 751810 902172 1127715 1353258 1503620 2029887 2255430 2706516 3383145 4059774 4510860 6766290 8119548 10149435 13532580 18870431 20298870 37740862 40597740 56611293 75481724 94352155 113222586 169833879 188704310 226445172 283056465 339667758 377408620 509501637 566112930 679335516 849169395 1019003274 1132225860 1698338790 2038006548 2547508185 3396677580 5095016370 10190032740