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420817545 = 33523313433
BaseRepresentation
bin11001000101010…
…010101010001001
31002022211202011000
4121011102222021
51330212130140
6105431325213
713266614211
oct3105225211
91068752130
10420817545
111a65a44a5
12b8b20809
136924cb85
143dc63241
1526e26a30
hex19152a89

420817545 has 64 divisors (see below), whose sum is σ = 784949760. Its totient is φ = 213497856.

The previous prime is 420817531. The next prime is 420817547. The reversal of 420817545 is 545718024.

It is not a de Polignac number, because 420817545 - 25 = 420817513 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (420817547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 971649 + ... + 972081.

It is an arithmetic number, because the mean of its divisors is an integer number (12264840).

Almost surely, 2420817545 is an apocalyptic number.

420817545 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420817545 is a deficient number, since it is larger than the sum of its proper divisors (364132215).

420817545 is a wasteful number, since it uses less digits than its factorization.

420817545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 420817545 is about 20513.8378905557. The cubic root of 420817545 is about 749.3728356994.

The spelling of 420817545 in words is "four hundred twenty million, eight hundred seventeen thousand, five hundred forty-five".

Divisors: 1 3 5 9 15 23 27 45 69 115 135 207 313 345 433 621 939 1035 1299 1565 2165 2817 3105 3897 4695 6495 7199 8451 9959 11691 14085 19485 21597 29877 35995 42255 49795 58455 64791 89631 107985 135529 149385 194373 268893 323955 406587 448155 677645 971865 1219761 1344465 2032935 3117167 3659283 6098805 9351501 15585835 18296415 28054503 46757505 84163509 140272515 420817545