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129400440 = 233513109761
BaseRepresentation
bin1111011011001…
…11111001111000
3100000111020000220
413231213321320
5231111303230
620501300040
73130612521
oct755477170
9300436026
10129400440
1167052514
1237404620
1320a68910
1413285848
15b560d10
hex7b67e78

129400440 has 128 divisors (see below), whose sum is σ = 422452800. Its totient is φ = 31518720.

The previous prime is 129400429. The next prime is 129400441. The reversal of 129400440 is 44004921.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 129400440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129400441) 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, 169660 + ... + 170420.

Almost surely, 2129400440 is an apocalyptic number.

129400440 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 129400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211226400).

129400440 is an abundant number, since it is smaller than the sum of its proper divisors (293052360).

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

129400440 is a wasteful number, since it uses less digits than its factorization.

129400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 129400440 is about 11375.4314203902. The cubic root of 129400440 is about 505.7997197240.

The spelling of 129400440 in words is "one hundred twenty-nine million, four hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 109 120 130 156 195 218 260 312 327 390 436 520 545 654 761 780 872 1090 1308 1417 1522 1560 1635 2180 2283 2616 2834 3044 3270 3805 4251 4360 4566 5668 6088 6540 7085 7610 8502 9132 9893 11336 11415 13080 14170 15220 17004 18264 19786 21255 22830 28340 29679 30440 34008 39572 42510 45660 49465 56680 59358 79144 82949 85020 91320 98930 118716 148395 165898 170040 197860 237432 248847 296790 331796 395720 414745 497694 593580 663592 829490 995388 1078337 1187160 1244235 1658980 1990776 2156674 2488470 3235011 3317960 4313348 4976940 5391685 6470022 8626696 9953880 10783370 12940044 16175055 21566740 25880088 32350110 43133480 64700220 129400440