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1145365416 = 2332132694549
BaseRepresentation
bin100010001000100…
…1110001110101000
32221211012120222100
41010101032032220
54321203143131
6305353053400
740245305526
oct10421161650
92854176870
101145365416
1153858aa98
1227b6b7260
131533a5720
14ac18b316
156a8477e6
hex4444e3a8

1145365416 has 96 divisors (see below), whose sum is σ = 3353805000. Its totient is φ = 351032832.

The previous prime is 1145365409. The next prime is 1145365423. The reversal of 1145365416 is 6145635411.

1145365416 is a `hidden beast` number, since 114 + 536 + 5 + 4 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1145365409) and next prime (1145365423).

It can be written as a sum of positive squares in 4 ways, for example, as 637764516 + 507600900 = 25254^2 + 22530^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249510 + ... + 254058.

Almost surely, 21145365416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145365416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676902500).

1145365416 is an abundant number, since it is smaller than the sum of its proper divisors (2208439584).

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

1145365416 is a wasteful number, since it uses less digits than its factorization.

1145365416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4843 (or 4836 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 1145365416 is about 33843.2477164943. The cubic root of 1145365416 is about 1046.2802364475.

The spelling of 1145365416 in words is "one billion, one hundred forty-five million, three hundred sixty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 269 312 468 538 807 936 1076 1614 2152 2421 3228 3497 4549 4842 6456 6994 9098 9684 10491 13647 13988 18196 19368 20982 27294 27976 31473 36392 40941 41964 54588 59137 62946 81882 83928 109176 118274 125892 163764 177411 236548 251784 327528 354822 473096 532233 709644 1064466 1223681 1419288 2128932 2447362 3671043 4257864 4894724 7342086 9789448 11013129 14684172 15907853 22026258 29368344 31815706 44052516 47723559 63631412 88105032 95447118 127262824 143170677 190894236 286341354 381788472 572682708 1145365416