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126033972 = 223311372473
BaseRepresentation
bin1111000001100…
…10000000110100
322210011012002220
413200302000310
5224231041342
620301202340
73060161661
oct740620064
9283135086
10126033972
1165163209
12362603b0
132015a51c
1412a4aa68
15b0e85ec
hex7832034

126033972 has 48 divisors (see below), whose sum is σ = 305905152. Its totient is φ = 40343040.

The previous prime is 126033953. The next prime is 126033979. The reversal of 126033972 is 279330621.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126033979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49728 + ... + 52200.

It is an arithmetic number, because the mean of its divisors is an integer number (6373024).

Almost surely, 2126033972 is an apocalyptic number.

126033972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126033972 is an abundant number, since it is smaller than the sum of its proper divisors (179871180).

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

126033972 is a wasteful number, since it uses less digits than its factorization.

126033972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 126033972 is about 11226.4852914882. The cubic root of 126033972 is about 501.3748454682.

The spelling of 126033972 in words is "one hundred twenty-six million, thirty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 31 62 93 124 137 186 274 372 411 548 822 1644 2473 4247 4946 7419 8494 9892 12741 14838 16988 25482 29676 50964 76663 153326 229989 306652 338801 459978 677602 919956 1016403 1355204 2032806 4065612 10502831 21005662 31508493 42011324 63016986 126033972