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1378012032 = 27321196191
BaseRepresentation
bin101001000100010…
…1100101110000000
310120000222021010200
41102020230232000
510310232341112
6344423325200
746101623535
oct12210545600
93500867120
101378012032
11647940921
123255b0800
1318c650547
14d102ad8c
1580e9ecdc
hex5222cb80

1378012032 has 48 divisors (see below), whose sum is σ = 3965376480. Its totient is φ = 459336960.

The previous prime is 1378012003. The next prime is 1378012033. The reversal of 1378012032 is 2302108731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1378011987 and 1378012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378012033) 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 5 ways as a sum of consecutive naturals, for example, 596944 + ... + 599247.

It is an arithmetic number, because the mean of its divisors is an integer number (82612010).

Almost surely, 21378012032 is an apocalyptic number.

1378012032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1378012032 is an abundant number, since it is smaller than the sum of its proper divisors (2587364448).

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

1378012032 is a wasteful number, since it uses less digits than its factorization.

1378012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196211 (or 1196196 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1378012032 is about 37121.5844489429. The cubic root of 1378012032 is about 1112.8014166572.

The spelling of 1378012032 in words is "one billion, three hundred seventy-eight million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1196191 2392382 3588573 4784764 7177146 9569528 10765719 14354292 19139056 21531438 28708584 38278112 43062876 57417168 76556224 86125752 114834336 153112448 172251504 229668672 344503008 459337344 689006016 1378012032