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1190768640 = 2123519381
BaseRepresentation
bin100011011111001…
…1011000000000000
310001222122022111020
41012332123000000
54414314044030
6314054145440
741336236455
oct10676330000
93058568436
101190768640
11561181116
12292952280
1315c911739
14b420982c
156e815510
hex46f9b000

1190768640 has 104 divisors (see below), whose sum is σ = 3810191088. Its totient is φ = 317521920.

The previous prime is 1190768639. The next prime is 1190768651. The reversal of 1190768640 is 468670911.

It is a junction number, because it is equal to n+sod(n) for n = 1190768592 and 1190768601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51750 + ... + 71130.

Almost surely, 21190768640 is an apocalyptic number.

1190768640 is a gapful number since it is divisible by the number (10) 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 1190768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905095544).

1190768640 is an abundant number, since it is smaller than the sum of its proper divisors (2619422448).

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

1190768640 is an equidigital number, since it uses as much as digits as its factorization.

1190768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19413 (or 19391 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1190768640 is about 34507.5157031044. The cubic root of 1190768640 is about 1059.9266117460.

The spelling of 1190768640 in words is "one billion, one hundred ninety million, seven hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 10240 12288 15360 19381 20480 30720 38762 58143 61440 77524 96905 116286 155048 193810 232572 290715 310096 387620 465144 581430 620192 775240 930288 1162860 1240384 1550480 1860576 2325720 2480768 3100960 3721152 4651440 4961536 6201920 7442304 9302880 9923072 12403840 14884608 18605760 19846144 24807680 29769216 37211520 39692288 49615360 59538432 74423040 79384576 99230720 119076864 148846080 198461440 238153728 297692160 396922880 595384320 1190768640