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1125156420 = 22345694541
BaseRepresentation
bin100001100010000…
…1000011001000100
32220102011212110000
41003010020121010
54301020001140
6303352001300
736611446263
oct10304103104
92812155400
101125156420
11528137743
12274990230
1314c14b13b
14a960a5da
1568ba4a30
hex43108644

1125156420 has 60 divisors (see below), whose sum is σ = 3529662444. Its totient is φ = 300041280.

The previous prime is 1125156419. The next prime is 1125156449. The reversal of 1125156420 is 246515211.

1125156420 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 15 + 642 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 430728516 + 694427904 = 20754^2 + 26352^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 345651 + ... + 348890.

Almost surely, 21125156420 is an apocalyptic number.

1125156420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1125156420 is an abundant number, since it is smaller than the sum of its proper divisors (2404506024).

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

1125156420 is a wasteful number, since it uses less digits than its factorization.

1125156420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694562 (or 694551 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1125156420 is about 33543.3513531370. The cubic root of 1125156420 is about 1040.0901117679.

The spelling of 1125156420 in words is "one billion, one hundred twenty-five million, one hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 694541 1389082 2083623 2778164 3472705 4167246 6250869 6945410 8334492 10418115 12501738 13890820 18752607 20836230 25003476 31254345 37505214 41672460 56257821 62508690 75010428 93763035 112515642 125017380 187526070 225031284 281289105 375052140 562578210 1125156420