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155101540 = 2251117113367
BaseRepresentation
bin10010011111010…
…10100101100100
3101210211222022111
421033222211210
5304201222130
623220210404
73562225036
oct1117524544
9353758274
10155101540
117a6070a0
1243b39a04
1326196c79
1416855c56
15d93b02a
hex93ea964

155101540 has 96 divisors (see below), whose sum is σ = 380588544. Its totient is φ = 52469760.

The previous prime is 155101537. The next prime is 155101553. The reversal of 155101540 is 45101551.

It is a happy number.

155101540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422437 + ... + 422803.

It is an arithmetic number, because the mean of its divisors is an integer number (3964464).

Almost surely, 2155101540 is an apocalyptic number.

155101540 is a gapful number since it is divisible by the number (10) 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 155101540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190294272).

155101540 is an abundant number, since it is smaller than the sum of its proper divisors (225487004).

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

155101540 is a wasteful number, since it uses less digits than its factorization.

155101540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 22.

The square root of 155101540 is about 12453.9768748782. The cubic root of 155101540 is about 537.2858090146.

The spelling of 155101540 in words is "one hundred fifty-five million, one hundred one thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 113 170 187 220 226 340 367 374 452 565 734 748 935 1130 1243 1468 1835 1870 1921 2260 2486 3670 3740 3842 4037 4972 6215 6239 7340 7684 8074 9605 12430 12478 16148 19210 20185 21131 24860 24956 31195 38420 40370 41471 42262 62390 68629 80740 82942 84524 105655 124780 137258 165884 207355 211310 274516 343145 414710 422620 456181 686290 705007 829420 912362 1372580 1410014 1824724 2280905 2820028 3525035 4561810 7050070 7755077 9123620 14100140 15510154 31020308 38775385 77550770 155101540