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1121575440 = 243524119391
BaseRepresentation
bin100001011011001…
…1110001000010000
32220011102221021010
41002312132020100
54244110403230
6303143130520
736536143146
oct10266361020
92804387233
101121575440
11526111257
12273743a40
1314b49620b
14a8d57596
15686e89b0
hex42d9e210

1121575440 has 80 divisors (see below), whose sum is σ = 3491490816. Its totient is φ = 297830400.

The previous prime is 1121575423. The next prime is 1121575451. The reversal of 1121575440 is 445751211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11215754402 = 2515862935222387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1121575398 and 1121575407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48145 + ... + 67535.

Almost surely, 21121575440 is an apocalyptic number.

1121575440 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 1121575440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745745408).

1121575440 is an abundant number, since it is smaller than the sum of its proper divisors (2369915376).

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

1121575440 is a wasteful number, since it uses less digits than its factorization.

1121575440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19648 (or 19642 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 1121575440 is about 33489.9304269209. The cubic root of 1121575440 is about 1038.9855245511.

The spelling of 1121575440 in words is "one billion, one hundred twenty-one million, five hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 241 482 723 964 1205 1446 1928 2410 2892 3615 3856 4820 5784 7230 9640 11568 14460 19280 19391 28920 38782 57840 58173 77564 96955 116346 155128 193910 232692 290865 310256 387820 465384 581730 775640 930768 1163460 1551280 2326920 4653840 4673231 9346462 14019693 18692924 23366155 28039386 37385848 46732310 56078772 70098465 74771696 93464620 112157544 140196930 186929240 224315088 280393860 373858480 560787720 1121575440