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1076477072 = 241119893617
BaseRepresentation
bin100000000101001…
…1011110010010000
32210000120200221012
41000022123302100
54201034231242
6254452350052
735450622056
oct10012336220
92700520835
101076477072
11502709180
12260615328
13142035ba8
14a2d781d6
156478b282
hex4029bc90

1076477072 has 80 divisors (see below), whose sum is σ = 2422612800. Its totient is φ = 458219520.

The previous prime is 1076477069. The next prime is 1076477081. The reversal of 1076477072 is 2707746701.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 295808 + ... + 299424.

It is an arithmetic number, because the mean of its divisors is an integer number (30282660).

Almost surely, 21076477072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076477072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211306400).

1076477072 is an abundant number, since it is smaller than the sum of its proper divisors (1346135728).

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

1076477072 is a wasteful number, since it uses less digits than its factorization.

1076477072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 41.

The square root of 1076477072 is about 32809.7100261493. The cubic root of 1076477072 is about 1024.8687746343.

The spelling of 1076477072 in words is "one billion, seventy-six million, four hundred seventy-seven thousand, seventy-two".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 89 152 176 178 209 304 356 418 712 836 979 1424 1672 1691 1958 3344 3382 3617 3916 6764 7234 7832 13528 14468 15664 18601 27056 28936 37202 39787 57872 68723 74404 79574 137446 148808 159148 274892 297616 318296 321913 549784 636592 643826 755953 1099568 1287652 1511906 2575304 3023812 3541043 5150608 6047624 6116347 7082086 12095248 12232694 14164172 24465388 28328344 48930776 56656688 67279817 97861552 134559634 269119268 538238536 1076477072