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1097017920 = 26325380909
BaseRepresentation
bin100000101100011…
…0010101001000000
32211110020021200100
41001120302221000
54221314033140
6300504522400
736120332655
oct10130625100
92743207610
101097017920
11513268889
12267480400
1314637853b
14a59a3c2c
1566497530
hex41632a40

1097017920 has 84 divisors (see below), whose sum is σ = 3773294460. Its totient is φ = 292537344.

The previous prime is 1097017919. The next prime is 1097017931. The reversal of 1097017920 is 297107901.

It can be written as a sum of positive squares in 2 ways, for example, as 681836544 + 415181376 = 26112^2 + 20376^2 .

It is a super-2 number, since 2×10970179202 = 2406896633602252800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187575 + ... + 193334.

Almost surely, 21097017920 is an apocalyptic number.

1097017920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1097017920 is an abundant number, since it is smaller than the sum of its proper divisors (2676276540).

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

1097017920 is a wasteful number, since it uses less digits than its factorization.

1097017920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380932 (or 380919 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 1097017920 is about 33121.2608455656. The cubic root of 1097017920 is about 1031.3464403472.

The spelling of 1097017920 in words is "one billion, ninety-seven million, seventeen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 380909 761818 1142727 1523636 1904545 2285454 3047272 3428181 3809090 4570908 5713635 6094544 6856362 7618180 9141816 11427270 12189088 13712724 15236360 17140905 18283632 22854540 24378176 27425448 30472720 34281810 36567264 45709080 54850896 60945440 68563620 73134528 91418160 109701792 121890880 137127240 182836320 219403584 274254480 365672640 548508960 1097017920