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1157301450 = 232523497369
BaseRepresentation
bin100010011111011…
…0000010011001010
32222122200000010200
41010332300103022
54332232121300
6310500553030
740451620464
oct10476602312
92878600120
101157301450
115442a2788
122836b2776
131559c4576
14ad9b7134
156b904200
hex44fb04ca

1157301450 has 72 divisors (see below), whose sum is σ = 3118615500. Its totient is φ = 307687680.

The previous prime is 1157301421. The next prime is 1157301487. The reversal of 1157301450 is 541037511.

It can be written as a sum of positive squares in 6 ways, for example, as 837928809 + 319372641 = 28947^2 + 17871^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 153366 + ... + 160734.

Almost surely, 21157301450 is an apocalyptic number.

1157301450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157301450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559307750).

1157301450 is an abundant number, since it is smaller than the sum of its proper divisors (1961314050).

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

1157301450 is a wasteful number, since it uses less digits than its factorization.

1157301450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7736 (or 7728 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 1157301450 is about 34019.1335868508. The cubic root of 1157301450 is about 1049.9021677557.

Adding to 1157301450 its reverse (541037511), we get a palindrome (1698338961).

The spelling of 1157301450 in words is "one billion, one hundred fifty-seven million, three hundred one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 349 450 698 1047 1745 2094 3141 3490 5235 6282 7369 8725 10470 14738 15705 17450 22107 26175 31410 36845 44214 52350 66321 73690 78525 110535 132642 157050 184225 221070 331605 368450 552675 663210 1105350 1658025 2571781 3316050 5143562 7715343 12858905 15430686 23146029 25717810 38576715 46292058 64294525 77153430 115730145 128589050 192883575 231460290 385767150 578650725 1157301450