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60156540 = 22335176553
BaseRepresentation
bin1110010101111…
…0101001111100
311012012021021000
43211132221330
5110400002130
65545210300
71330215333
oct345365174
9135167230
1060156540
1130a58554
1218190990
13c6032b2
147dbcd1a
155434260
hex395ea7c

60156540 has 96 divisors (see below), whose sum is σ = 198192960. Its totient is φ = 15095808.

The previous prime is 60156533. The next prime is 60156541. The reversal of 60156540 is 4565106.

It is a happy number.

60156540 is a `hidden beast` number, since 6 + 0 + 1 + 5 + 654 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60156541) 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, 5904 + ... + 12456.

It is an arithmetic number, because the mean of its divisors is an integer number (2064510).

Almost surely, 260156540 is an apocalyptic number.

60156540 is a gapful number since it is divisible by the number (60) 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 60156540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99096480).

60156540 is an abundant number, since it is smaller than the sum of its proper divisors (138036420).

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

60156540 is a wasteful number, since it uses less digits than its factorization.

60156540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6588 (or 6580 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 60156540 is about 7756.0647238145. The cubic root of 60156540 is about 391.8269314452.

The spelling of 60156540 in words is "sixty million, one hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 6553 9180 13106 19659 26212 32765 39318 58977 65530 78636 98295 111401 117954 131060 176931 196590 222802 235908 294885 334203 353862 393180 445604 557005 589770 668406 707724 884655 1002609 1114010 1179540 1336812 1671015 1769310 2005218 2228020 3007827 3342030 3538620 4010436 5013045 6015654 6684060 10026090 12031308 15039135 20052180 30078270 60156540