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1145059890 = 2351319413769
BaseRepresentation
bin100010001000000…
…0011101000110010
32221210122001212120
41010100003220302
54321113404030
6305342335110
740242564012
oct10420035062
92853561776
101145059890
115383a1497
1227b58a496
131532c9640
14ac10bc42
156a7d7010
hex44403a32

1145059890 has 128 divisors (see below), whose sum is σ = 3192134400. Its totient is φ = 260444160.

The previous prime is 1145059879. The next prime is 1145059963. The reversal of 1145059890 is 989505411.

It is a super-2 number, since 2×11450598902 = 2622324303373624200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 301926 + ... + 305694.

It is an arithmetic number, because the mean of its divisors is an integer number (24938550).

Almost surely, 21145059890 is an apocalyptic number.

1145059890 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 1145059890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596067200).

1145059890 is an abundant number, since it is smaller than the sum of its proper divisors (2047074510).

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

1145059890 is a wasteful number, since it uses less digits than its factorization.

1145059890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852.

The product of its (nonzero) digits is 64800, while the sum is 42.

The square root of 1145059890 is about 33838.7335755935. The cubic root of 1145059890 is about 1046.1871964917.

The spelling of 1145059890 in words is "one billion, one hundred forty-five million, fifty-nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 41 57 65 78 82 95 114 123 130 190 195 205 246 247 285 390 410 494 533 570 615 741 779 1066 1230 1235 1482 1558 1599 2337 2470 2665 3198 3705 3769 3895 4674 5330 7410 7538 7790 7995 10127 11307 11685 15990 18845 20254 22614 23370 30381 37690 48997 50635 56535 60762 71611 97994 101270 113070 143222 146991 151905 154529 214833 244985 293982 303810 309058 358055 429666 463587 489970 716110 734955 772645 927174 930943 1074165 1469910 1545290 1861886 2008877 2148330 2317935 2792829 2936051 4017754 4635870 4654715 5585658 5872102 6026631 8808153 9309430 10044385 12053262 13964145 14680255 17616306 20088770 27928290 29360510 30133155 38168663 44040765 60266310 76337326 88081530 114505989 190843315 229011978 381686630 572529945 1145059890