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129083380 = 225173137331
BaseRepresentation
bin1111011000110…
…10011111110100
322222220010002221
413230122133310
5231021132010
620450412124
73125122246
oct754323764
9288803087
10129083380
1166956288
1237291044
13209874ca
1413202096
15b4ebdda
hex7b1a7f4

129083380 has 96 divisors (see below), whose sum is σ = 305206272. Its totient is φ = 45619200.

The previous prime is 129083371. The next prime is 129083389. The reversal of 129083380 is 83380921.

It is an interprime number because it is at equal distance from previous prime (129083371) and next prime (129083389).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129083389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389815 + ... + 390145.

It is an arithmetic number, because the mean of its divisors is an integer number (3179232).

Almost surely, 2129083380 is an apocalyptic number.

129083380 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 129083380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152603136).

129083380 is an abundant number, since it is smaller than the sum of its proper divisors (176122892).

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

129083380 is a wasteful number, since it uses less digits than its factorization.

129083380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 129083380 is about 11361.4866984915. The cubic root of 129083380 is about 505.3862744076.

The spelling of 129083380 in words is "one hundred twenty-nine million, eighty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 31 34 37 62 68 74 85 124 148 155 170 185 310 331 340 370 527 620 629 662 740 1054 1147 1258 1324 1655 2108 2294 2516 2635 3145 3310 4588 5270 5627 5735 6290 6620 10261 10540 11254 11470 12247 12580 19499 20522 22508 22940 24494 28135 38998 41044 48988 51305 56270 61235 77996 97495 102610 112540 122470 174437 194990 205220 208199 244940 348874 379657 389980 416398 697748 759314 832796 872185 1040995 1518628 1744370 1898285 2081990 3488740 3796570 4163980 6454169 7593140 12908338 25816676 32270845 64541690 129083380