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1372745136 = 2437191012129
BaseRepresentation
bin101000111010010…
…0110110110110000
310112200001200022110
41101310212312300
510302410321021
6344114405320
746006066260
oct12164466660
93480050273
101372745136
11644973814
12323890840
1318b528139
14d04597a0
15807ae476
hex51d26db0

1372745136 has 160 divisors (see below), whose sum is σ = 4310438400. Its totient is φ = 367718400.

The previous prime is 1372745119. The next prime is 1372745137. The reversal of 1372745136 is 6315472731.

It is a junction number, because it is equal to n+sod(n) for n = 1372745094 and 1372745103.

It is not an unprimeable number, because it can be changed into a prime (1372745137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 643720 + ... + 645848.

It is an arithmetic number, because the mean of its divisors is an integer number (26940240).

Almost surely, 21372745136 is an apocalyptic number.

1372745136 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 1372745136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155219200).

1372745136 is an abundant number, since it is smaller than the sum of its proper divisors (2937693264).

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

1372745136 is a wasteful number, since it uses less digits than its factorization.

1372745136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2261 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 1372745136 is about 37050.5753801476. The cubic root of 1372745136 is about 1111.3818614802.

The spelling of 1372745136 in words is "one billion, three hundred seventy-two million, seven hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 101 112 114 133 152 168 202 228 266 303 304 336 399 404 456 532 606 707 798 808 912 1064 1212 1414 1596 1616 1919 2121 2128 2129 2424 2828 3192 3838 4242 4258 4848 5656 5757 6384 6387 7676 8484 8516 11312 11514 12774 13433 14903 15352 16968 17032 23028 25548 26866 29806 30704 33936 34064 40299 40451 44709 46056 51096 53732 59612 80598 80902 89418 92112 102192 107464 119224 121353 161196 161804 178836 214928 215029 238448 242706 283157 322392 323608 357672 430058 485412 566314 644784 645087 647216 715344 849471 860116 970824 1132628 1290174 1505203 1698942 1720232 1941648 2265256 2580348 3010406 3397884 3440464 4085551 4515609 4530512 5160696 6020812 6795768 8171102 9031218 10321392 12041624 12256653 13591536 16342204 18062436 24083248 24513306 28598857 32684408 36124872 49026612 57197714 65368816 72249744 85796571 98053224 114395428 171593142 196106448 228790856 343186284 457581712 686372568 1372745136