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1077222528 = 27329672
BaseRepresentation
bin100000000110101…
…0001110010000000
32210001222120111200
41000031101302000
54201232110103
6254520341200
735460145314
oct10015216200
92701876450
101077222528
11503078258
12260914800
131422372a5
14a30cdb44
15648870a3
hex40351c80

1077222528 has 72 divisors (see below), whose sum is σ = 3103028955. Its totient is φ = 358702848.

The previous prime is 1077222491. The next prime is 1077222533. The reversal of 1077222528 is 8252227701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1077222528 is a `hidden beast` number, since 107 + 7 + 2 + 22 + 528 = 666.

It can be written as a sum of positive squares in only one way, i.e., 538611264 + 538611264 = 23208^2 + 23208^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=23208.

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

It is a junction number, because it is equal to n+sod(n) for n = 1077222492 and 1077222501.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1113501 + ... + 1114467.

Almost surely, 21077222528 is an apocalyptic number.

1077222528 is a gapful number since it is divisible by the number (18) 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 1077222528

1077222528 is an abundant number, since it is smaller than the sum of its proper divisors (2025806427).

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

1077222528 is an frugal number, since it uses more digits than its factorization.

1077222528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 1077222528 is about 32821.0683555548. The cubic root of 1077222528 is about 1025.1052925347.

The spelling of 1077222528 in words is "one billion, seventy-seven million, two hundred twenty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 967 1152 1934 2901 3868 5802 7736 8703 11604 15472 17406 23208 30944 34812 46416 61888 69624 92832 123776 139248 185664 278496 371328 556992 935089 1113984 1870178 2805267 3740356 5610534 7480712 8415801 11221068 14961424 16831602 22442136 29922848 33663204 44884272 59845696 67326408 89768544 119691392 134652816 179537088 269305632 359074176 538611264 1077222528