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1272348072 = 233219930079
BaseRepresentation
bin100101111010110…
…0111110110101000
310021200010222102200
41023311213312220
510101210114242
6330130500200
743346531412
oct11365476650
93250128380
101272348072
115a3230a36
122b6134660
131737a59a8
14c0da39b2
1576a7c04c
hex4bd67da8

1272348072 has 48 divisors (see below), whose sum is σ = 3627312000. Its totient is φ = 401793696.

The previous prime is 1272348071. The next prime is 1272348073. The reversal of 1272348072 is 2708432721.

It is an interprime number because it is at equal distance from previous prime (1272348071) and next prime (1272348073).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1272348071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 463672 + ... + 466407.

It is an arithmetic number, because the mean of its divisors is an integer number (75569000).

Almost surely, 21272348072 is an apocalyptic number.

1272348072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1272348072 is an abundant number, since it is smaller than the sum of its proper divisors (2354963928).

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

1272348072 is a wasteful number, since it uses less digits than its factorization.

1272348072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930110 (or 930103 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1272348072 is about 35669.9883936062. The cubic root of 1272348072 is about 1083.5991242016.

The spelling of 1272348072 in words is "one billion, two hundred seventy-two million, three hundred forty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 930079 1860158 2790237 3720316 5580474 7440632 8370711 11160948 16741422 17671501 22321896 33482844 35343002 53014503 66965688 70686004 106029006 141372008 159043509 212058012 318087018 424116024 636174036 1272348072