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141680736 = 25322373293
BaseRepresentation
bin10000111000111…
…10000001100000
3100212121010102200
420130132001200
5242232240421
622020413200
73340160241
oct1034360140
9325533380
10141680736
1172a7a91a
123b547200
1323478372
1414b60cc8
15c689726
hex871e060

141680736 has 144 divisors (see below), whose sum is σ = 427635936. Its totient is φ = 44402688.

The previous prime is 141680729. The next prime is 141680761. The reversal of 141680736 is 637086141.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 141680736.

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, 483406 + ... + 483698.

It is an arithmetic number, because the mean of its divisors is an integer number (2969694).

Almost surely, 2141680736 is an apocalyptic number.

141680736 is a gapful number since it is divisible by the number (16) 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 141680736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213817968).

141680736 is an abundant number, since it is smaller than the sum of its proper divisors (285955200).

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

141680736 is a wasteful number, since it uses less digits than its factorization.

141680736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 141680736 is about 11902.9717297824. The cubic root of 141680736 is about 521.3190574965.

The spelling of 141680736 in words is "one hundred forty-one million, six hundred eighty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 73 92 96 138 144 146 184 207 219 276 288 292 293 368 414 438 552 584 586 657 736 828 876 879 1104 1168 1172 1314 1656 1679 1752 1758 2208 2336 2344 2628 2637 3312 3358 3504 3516 4688 5037 5256 5274 6624 6716 6739 7008 7032 9376 10074 10512 10548 13432 13478 14064 15111 20148 20217 21024 21096 21389 26864 26956 28128 30222 40296 40434 42192 42778 53728 53912 60444 60651 64167 80592 80868 84384 85556 107824 120888 121302 128334 161184 161736 171112 192501 215648 241776 242604 256668 323472 342224 385002 483552 485208 491947 513336 646944 684448 770004 970416 983894 1026672 1475841 1540008 1940832 1967788 2053344 2951682 3080016 3935576 4427523 5903364 6160032 7871152 8855046 11806728 15742304 17710092 23613456 35420184 47226912 70840368 141680736