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1145379072 = 2833148109
BaseRepresentation
bin100010001000101…
…0001100100000000
32221211020021201010
41010101101210000
54321204112242
6305353240520
740245363405
oct10421214400
92854207633
101145379072
1153859a282
1227b703140
131533ab9c6
14ac1922ac
156a84b89c
hex44451900

1145379072 has 72 divisors (see below), whose sum is σ = 3146778880. Its totient is φ = 369469440.

The previous prime is 1145379017. The next prime is 1145379077. The reversal of 1145379072 is 2709735411.

It is a self number, because there is not a number n which added to its sum of digits gives 1145379072.

It is not an unprimeable number, because it can be changed into a prime (1145379077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247 + ... + 47862.

Almost surely, 21145379072 is an apocalyptic number.

1145379072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145379072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573389440).

1145379072 is an abundant number, since it is smaller than the sum of its proper divisors (2001399808).

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

1145379072 is an equidigital number, since it uses as much as digits as its factorization.

1145379072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48159 (or 48145 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 1145379072 is about 33843.4494695798. The cubic root of 1145379072 is about 1046.2843946390.

It can be divided in two parts, 11453 and 79072, that added together give a triangular number (90525 = T425).

The spelling of 1145379072 in words is "one billion, one hundred forty-five million, three hundred seventy-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3968 5952 7936 11904 23808 48109 96218 144327 192436 288654 384872 577308 769744 1154616 1491379 1539488 2309232 2982758 3078976 4474137 4618464 5965516 6157952 8948274 9236928 11931032 12315904 17896548 18473856 23862064 35793096 36947712 47724128 71586192 95448256 143172384 190896512 286344768 381793024 572689536 1145379072