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541330290 = 23451913499
BaseRepresentation
bin100000010001000…
…000101101110010
31101201121102120000
4200101000231302
52102040032130
6125414330430
716262142264
oct4021005562
91351542500
10541330290
11258626506
12131359a16
13881c62a7
1451c73b34
15327ce260
hex20440b72

541330290 has 80 divisors (see below), whose sum is σ = 1463616000. Its totient is φ = 143557920.

The previous prime is 541330289. The next prime is 541330343. The reversal of 541330290 is 92033145.

541330290 is a `hidden beast` number, since 5 + 41 + 330 + 290 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152961 + ... + 156459.

It is an arithmetic number, because the mean of its divisors is an integer number (18295200).

Almost surely, 2541330290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541330290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731808000).

541330290 is an abundant number, since it is smaller than the sum of its proper divisors (922285710).

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

541330290 is a wasteful number, since it uses less digits than its factorization.

541330290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3709 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 541330290 is about 23266.5057539803. The cubic root of 541330290 is about 814.9934333971.

The spelling of 541330290 in words is "five hundred forty-one million, three hundred thirty thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 191 270 382 405 573 810 955 1146 1719 1910 2865 3438 3499 5157 5730 6998 8595 10314 10497 15471 17190 17495 20994 25785 30942 31491 34990 51570 52485 62982 77355 94473 104970 154710 157455 188946 283419 314910 472365 566838 668309 944730 1336618 1417095 2004927 2834190 3341545 4009854 6014781 6683090 10024635 12029562 18044343 20049270 30073905 36088686 54133029 60147810 90221715 108266058 180443430 270665145 541330290