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1145345536 = 2919235119
BaseRepresentation
bin100010001000100…
…1001011000000000
32221211011120201001
41010101021120000
54321202024121
6305352421344
740245163546
oct10421113000
92854146631
101145345536
11538577065
1227b6a7854
1315339966a
14ac183d96
156a841991
hex44449600

1145345536 has 80 divisors (see below), whose sum is σ = 2514124800. Its totient is φ = 518842368.

The previous prime is 1145345527. The next prime is 1145345543. The reversal of 1145345536 is 6355435411.

It is a junction number, because it is equal to n+sod(n) for n = 1145345495 and 1145345504.

It is a congruent number.

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, 221185 + ... + 226303.

It is an arithmetic number, because the mean of its divisors is an integer number (31426560).

Almost surely, 21145345536 is an apocalyptic number.

1145345536 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 1145345536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257062400).

1145345536 is an abundant number, since it is smaller than the sum of its proper divisors (1368779264).

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

1145345536 is an equidigital number, since it uses as much as digits as its factorization.

1145345536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5179 (or 5163 counting only the distinct ones).

The product of its digits is 108000, while the sum is 37.

The square root of 1145345536 is about 33842.9540081832. The cubic root of 1145345536 is about 1046.2741830166.

The spelling of 1145345536 in words is "one billion, one hundred forty-five million, three hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 256 304 368 437 512 608 736 874 1216 1472 1748 2432 2944 3496 4864 5119 5888 6992 9728 10238 11776 13984 20476 27968 40952 55936 81904 97261 111872 117737 163808 194522 223744 235474 327616 389044 470948 655232 778088 941896 1310464 1556176 1883792 2237003 2620928 3112352 3767584 4474006 6224704 7535168 8948012 12449408 15070336 17896024 24898816 30140672 35792048 49797632 60281344 71584096 143168192 286336384 572672768 1145345536