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683150144 = 2659227797
BaseRepresentation
bin101000101110000…
…000101101000000
31202121110121211012
4220232000231000
52344341301034
6151442140052
722633452245
oct5056005500
91677417735
10683150144
113206908a6
12170951628
13ab6bca71
1466a2d5cc
153ee94cce
hex28b80b40

683150144 has 56 divisors (see below), whose sum is σ = 1386413280. Its totient is φ = 333886976.

The previous prime is 683150141. The next prime is 683150161. The reversal of 683150144 is 441051386.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 683150144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683150141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 856754 + ... + 857550.

It is an arithmetic number, because the mean of its divisors is an integer number (24757380).

Almost surely, 2683150144 is an apocalyptic number.

683150144 is a gapful number since it is divisible by the number (64) 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 683150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693206640).

683150144 is an abundant number, since it is smaller than the sum of its proper divisors (703263136).

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

683150144 is a wasteful number, since it uses less digits than its factorization.

683150144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 683150144 is about 26137.1410831407. The cubic root of 683150144 is about 880.7217494788.

The spelling of 683150144 in words is "six hundred eighty-three million, one hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 59 64 118 227 236 454 472 797 908 944 1594 1816 1888 3188 3632 3776 6376 7264 12752 13393 14528 25504 26786 47023 51008 53572 94046 107144 180919 188092 214288 361838 376184 428576 723676 752368 857152 1447352 1504736 2894704 3009472 5789408 10674221 11578816 21348442 42696884 85393768 170787536 341575072 683150144