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1097477136 = 243274792273
BaseRepresentation
bin100000101101010…
…0010110000010000
32211111002121121100
41001122202300100
54221423232021
6300522424400
736124254540
oct10132426020
92744077540
101097477136
115135518a8
12267662100
131464a9572
14a5a83320
1566538626
hex416a2c10

1097477136 has 120 divisors (see below), whose sum is σ = 3519060480. Its totient is φ = 312772608.

The previous prime is 1097477093. The next prime is 1097477137. The reversal of 1097477136 is 6317747901.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1097477091 and 1097477100.

It is not an unprimeable number, because it can be changed into a prime (1097477137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481696 + ... + 483968.

It is an arithmetic number, because the mean of its divisors is an integer number (29325504).

Almost surely, 21097477136 is an apocalyptic number.

1097477136 is a gapful number since it is divisible by the number (16) 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 1097477136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759530240).

1097477136 is an abundant number, since it is smaller than the sum of its proper divisors (2421583344).

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

1097477136 is a wasteful number, since it uses less digits than its factorization.

1097477136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 1097477136 is about 33128.1924650289. The cubic root of 1097477136 is about 1031.4903288254.

The spelling of 1097477136 in words is "one billion, ninety-seven million, four hundred seventy-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 479 504 958 1008 1437 1916 2273 2874 3353 3832 4311 4546 5748 6706 6819 7664 8622 9092 10059 11496 13412 13638 15911 17244 18184 20118 20457 22992 26824 27276 30177 31822 34488 36368 40236 40914 47733 53648 54552 60354 63644 68976 80472 81828 95466 109104 120708 127288 143199 160944 163656 190932 241416 254576 286398 327312 381864 482832 572796 763728 1088767 1145592 2177534 2291184 3266301 4355068 6532602 7621369 8710136 9798903 13065204 15242738 17420272 19597806 22864107 26130408 30485476 39195612 45728214 52260816 60970952 68592321 78391224 91456428 121941904 137184642 156782448 182912856 274369284 365825712 548738568 1097477136