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1242878112 = 25327616507
BaseRepresentation
bin100101000010100…
…1101000010100000
310012121200202020200
41022011031002200
510021134044422
6323155105200
742541201230
oct11205150240
93177622220
101242878112
115886327a3
122a82a2200
1316a658048
14bb0d1cc0
15741aa2ac
hex4a14d0a0

1242878112 has 72 divisors (see below), whose sum is σ = 4039360416. Its totient is φ = 355107456.

The previous prime is 1242878107. The next prime is 1242878113. The reversal of 1242878112 is 2118782421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1242878113) 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, 306238 + ... + 310269.

It is an arithmetic number, because the mean of its divisors is an integer number (56102228).

Almost surely, 21242878112 is an apocalyptic number.

1242878112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1242878112 is an abundant number, since it is smaller than the sum of its proper divisors (2796482304).

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

1242878112 is a wasteful number, since it uses less digits than its factorization.

1242878112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616530 (or 616519 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 1242878112 is about 35254.4764817179. The cubic root of 1242878112 is about 1075.1676283036.

The spelling of 1242878112 in words is "one billion, two hundred forty-two million, eight hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 616507 1233014 1849521 2466028 3699042 4315549 4932056 5548563 7398084 8631098 9864112 11097126 12946647 14796168 17262196 19728224 22194252 25893294 29592336 34524392 38839941 44388504 51786588 59184672 69048784 77679882 88777008 103573176 138097568 155359764 177554016 207146352 310719528 414292704 621439056 1242878112