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129197040 = 24357531451
BaseRepresentation
bin1111011001101…
…10001111110000
3100000002220000120
413230312033300
5231033301130
620453050240
73126104520
oct754661760
9300086016
10129197040
1166a23715
1237326980
13209c716b
1413231680
15b520910
hex7b363f0

129197040 has 160 divisors (see below), whose sum is σ = 466684416. Its totient is φ = 28953600.

The previous prime is 129197039. The next prime is 129197041. The reversal of 129197040 is 40791921.

It is an interprime number because it is at equal distance from previous prime (129197039) and next prime (129197041).

It is a junction number, because it is equal to n+sod(n) for n = 129196992 and 129197010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129197041) 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, 88315 + ... + 89765.

Almost surely, 2129197040 is an apocalyptic number.

129197040 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 129197040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233342208).

129197040 is an abundant number, since it is smaller than the sum of its proper divisors (337487376).

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

129197040 is a wasteful number, since it uses less digits than its factorization.

129197040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 129197040 is about 11366.4875841220. The cubic root of 129197040 is about 505.5345644833.

The spelling of 129197040 in words is "one hundred twenty-nine million, one hundred ninety-seven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 53 56 60 70 80 84 105 106 112 120 140 159 168 210 212 240 265 280 318 336 371 420 424 530 560 636 742 795 840 848 1060 1113 1272 1451 1484 1590 1680 1855 2120 2226 2544 2902 2968 3180 3710 4240 4353 4452 5565 5804 5936 6360 7255 7420 8706 8904 10157 11130 11608 12720 14510 14840 17412 17808 20314 21765 22260 23216 29020 29680 30471 34824 40628 43530 44520 50785 58040 60942 69648 76903 81256 87060 89040 101570 116080 121884 152355 153806 162512 174120 203140 230709 243768 304710 307612 348240 384515 406280 461418 487536 538321 609420 615224 769030 812560 922836 1076642 1153545 1218840 1230448 1538060 1614963 1845672 2153284 2307090 2437680 2691605 3076120 3229926 3691344 4306568 4614180 5383210 6152240 6459852 8074815 8613136 9228360 10766420 12919704 16149630 18456720 21532840 25839408 32299260 43065680 64598520 129197040