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1145377506 = 2371323223409
BaseRepresentation
bin100010001000101…
…0001001011100010
32221211020012120010
41010101101023202
54321204040011
6305353225350
740245356010
oct10421211342
92854205503
101145377506
11538599089
1227b702256
131533ab090
14ac1918b0
156a84b1a6
hex444512e2

1145377506 has 128 divisors (see below), whose sum is σ = 2962391040. Its totient is φ = 286944768.

The previous prime is 1145377501. The next prime is 1145377511. The reversal of 1145377506 is 6057735411.

It is an interprime number because it is at equal distance from previous prime (1145377501) and next prime (1145377511).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1145377501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2800230 + ... + 2800638.

It is an arithmetic number, because the mean of its divisors is an integer number (23143680).

Almost surely, 21145377506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145377506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481195520).

1145377506 is an abundant number, since it is smaller than the sum of its proper divisors (1817013534).

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

1145377506 is a wasteful number, since it uses less digits than its factorization.

1145377506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680.

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 1145377506 is about 33843.4263336324. The cubic root of 1145377506 is about 1046.2839178006.

The spelling of 1145377506 in words is "one billion, one hundred forty-five million, three hundred seventy-seven thousand, five hundred six".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 78 91 138 161 182 223 273 299 322 409 446 483 546 598 669 818 897 966 1227 1338 1561 1794 2093 2454 2863 2899 3122 4186 4683 5129 5317 5726 5798 6279 8589 8697 9366 9407 10258 10634 12558 15387 15951 17178 17394 18814 20293 28221 30774 31902 35903 37219 40586 56442 60879 65849 66677 71806 74438 91207 107709 111657 121758 122291 131698 133354 182414 197547 200031 215418 223314 244582 273621 366873 395094 400062 466739 547242 638449 733746 856037 933478 1185691 1276898 1400217 1712074 1915347 2097761 2371382 2568111 2800434 3557073 3830694 4195522 5136222 6293283 7114146 8299837 12586566 14684327 16599674 24899511 27270893 29368654 44052981 49799022 54541786 81812679 88105962 163625358 190896251 381792502 572688753 1145377506