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127968420 = 223519112253
BaseRepresentation
bin1111010000010…
…10010010100100
322220210110200010
413220022102210
5230224442140
620410450220
73112466526
oct750122244
9286713603
10127968420
1166264628
1236a33970
1320686b78
1412dd1a16
15b37b880
hex7a0a4a4

127968420 has 48 divisors (see below), whose sum is σ = 377173440. Its totient is φ = 32328576.

The previous prime is 127968419. The next prime is 127968427. The reversal of 127968420 is 24869721.

It is not an unprimeable number, because it can be changed into a prime (127968427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54987 + ... + 57266.

It is an arithmetic number, because the mean of its divisors is an integer number (7857780).

Almost surely, 2127968420 is an apocalyptic number.

127968420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127968420 is an abundant number, since it is smaller than the sum of its proper divisors (249205020).

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

127968420 is a wasteful number, since it uses less digits than its factorization.

127968420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112284 (or 112282 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 127968420 is about 11312.3127608814. The cubic root of 127968420 is about 503.9269703961.

The spelling of 127968420 in words is "one hundred twenty-seven million, nine hundred sixty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 112253 224506 336759 449012 561265 673518 1122530 1347036 1683795 2132807 2245060 3367590 4265614 6398421 6735180 8531228 10664035 12796842 21328070 25593684 31992105 42656140 63984210 127968420