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1088379040 = 2557971767
BaseRepresentation
bin100000011011111…
…0101100010100000
32210211222101100211
41000313311202200
54212111112130
6255555423504
735654032510
oct10067654240
92724871324
101088379040
115093a8311
122645b4b94
13144642388
14a4795840
156583ca2a
hex40df58a0

1088379040 has 48 divisors (see below), whose sum is σ = 2938626432. Its totient is φ = 373158144.

The previous prime is 1088379029. The next prime is 1088379041. The reversal of 1088379040 is 409738801.

It is a super-2 number, since 2×10883790402 = 2369137869422643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1088378984 and 1088379002.

It is not an unprimeable number, because it can be changed into a prime (1088379041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 484764 + ... + 487003.

It is an arithmetic number, because the mean of its divisors is an integer number (61221384).

Almost surely, 21088379040 is an apocalyptic number.

1088379040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1088379040 is an abundant number, since it is smaller than the sum of its proper divisors (1850247392).

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

1088379040 is an equidigital number, since it uses as much as digits as its factorization.

1088379040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971789 (or 971781 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 1088379040 is about 32990.5901735631. The cubic root of 1088379040 is about 1028.6320609466.

The spelling of 1088379040 in words is "one billion, eighty-eight million, three hundred seventy-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 971767 1943534 3887068 4858835 6802369 7774136 9717670 13604738 15548272 19435340 27209476 31096544 34011845 38870680 54418952 68023690 77741360 108837904 136047380 155482720 217675808 272094760 544189520 1088379040