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541950136 = 237134167271
BaseRepresentation
bin100000010011011…
…000000010111000
31101202202220211021
4200103120002320
52102214401021
6125435512224
716300333360
oct4023300270
91352686737
10541950136
11258a0a182
121315b8674
1388382470
1451d959a0
15328a2c41
hex204d80b8

541950136 has 128 divisors (see below), whose sum is σ = 1305077760. Its totient is φ = 205286400.

The previous prime is 541950133. The next prime is 541950139. The reversal of 541950136 is 631059145.

It is an interprime number because it is at equal distance from previous prime (541950133) and next prime (541950139).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541950133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1999681 + ... + 1999951.

It is an arithmetic number, because the mean of its divisors is an integer number (10195920).

Almost surely, 2541950136 is an apocalyptic number.

541950136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541950136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652538880).

541950136 is an abundant number, since it is smaller than the sum of its proper divisors (763127624).

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

541950136 is a wasteful number, since it uses less digits than its factorization.

541950136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 541950136 is about 23279.8225079144. The cubic root of 541950136 is about 815.3043820224.

It can be divided in two parts, 5419 and 50136, that added together give a palindrome (55555).

The spelling of 541950136 in words is "five hundred forty-one million, nine hundred fifty thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 26 28 41 52 56 67 82 91 104 134 164 182 268 271 287 328 364 469 533 536 542 574 728 871 938 1066 1084 1148 1742 1876 1897 2132 2168 2296 2747 3484 3523 3731 3752 3794 4264 5494 6097 6968 7046 7462 7588 10988 11111 12194 14092 14924 15176 18157 19229 21976 22222 24388 24661 28184 29848 35711 36314 38458 44444 48776 49322 71422 72628 76916 77777 88888 98644 127099 142844 144443 145256 153832 155554 197288 236041 249977 254198 285688 288886 311108 472082 499954 508396 577772 622216 744437 944164 999908 1011101 1016792 1155544 1488874 1652287 1888328 1999816 2022202 2977748 3304574 4044404 5211059 5955496 6609148 8088808 9677681 10422118 13218296 19355362 20844236 38710724 41688472 67743767 77421448 135487534 270975068 541950136