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126034440 = 23357150041
BaseRepresentation
bin1111000001100…
…10001000001000
322210011012202020
413200302020020
5224231100230
620301204440
73060163230
oct740621010
9283135666
10126034440
11651635a4
1236260720
132015a7bc
1412a4acc0
15b0e8810
hex7832208

126034440 has 64 divisors (see below), whose sum is σ = 432120960. Its totient is φ = 28807680.

The previous prime is 126034423. The next prime is 126034459. The reversal of 126034440 is 44430621.

It is a super-2 number, since 2×1260344402 = 31769360132227200, which contains 22 as substring.

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 126034440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74181 + ... + 75860.

It is an arithmetic number, because the mean of its divisors is an integer number (6751890).

Almost surely, 2126034440 is an apocalyptic number.

126034440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126034440 is an abundant number, since it is smaller than the sum of its proper divisors (306086520).

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

126034440 is a wasteful number, since it uses less digits than its factorization.

126034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150062 (or 150058 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 126034440 is about 11226.5061350360. The cubic root of 126034440 is about 501.3754660500.

The spelling of 126034440 in words is "one hundred twenty-six million, thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 150041 300082 450123 600164 750205 900246 1050287 1200328 1500410 1800492 2100574 2250615 3000820 3150861 3600984 4201148 4501230 5251435 6001640 6301722 8402296 9002460 10502870 12603444 15754305 18004920 21005740 25206888 31508610 42011480 63017220 126034440