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101504040 = 233511131587
BaseRepresentation
bin1100000110011…
…01010000101000
321001222221100220
412003031100220
5201441112130
614023330040
72341525101
oct603152050
9231887326
10101504040
1152329540
1229bb0920
131804c281
14d6a33a8
158da0410
hex60cd428

101504040 has 128 divisors (see below), whose sum is σ = 335301120. Its totient is φ = 24377600.

The previous prime is 101504027. The next prime is 101504041. The reversal of 101504040 is 40405101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (101504041) 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, 172627 + ... + 173213.

It is an arithmetic number, because the mean of its divisors is an integer number (2619540).

Almost surely, 2101504040 is an apocalyptic number.

101504040 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 101504040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

101504040 is an abundant number, since it is smaller than the sum of its proper divisors (233797080).

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

101504040 is a wasteful number, since it uses less digits than its factorization.

101504040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 101504040 is about 10074.9213396433. The cubic root of 101504040 is about 466.4743584045.

Adding to 101504040 its reverse (40405101), we get a palindrome (141909141).

The spelling of 101504040 in words is "one hundred one million, five hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 131 132 165 220 262 264 330 393 440 524 587 655 660 786 1048 1174 1310 1320 1441 1572 1761 1965 2348 2620 2882 2935 3144 3522 3930 4323 4696 5240 5764 5870 6457 7044 7205 7860 8646 8805 11528 11740 12914 14088 14410 15720 17292 17610 19371 21615 23480 25828 28820 32285 34584 35220 38742 43230 51656 57640 64570 70440 76897 77484 86460 96855 129140 153794 154968 172920 193710 230691 258280 307588 384485 387420 461382 615176 768970 774840 845867 922764 1153455 1537940 1691734 1845528 2306910 2537601 3075880 3383468 4229335 4613820 5075202 6766936 8458670 9227640 10150404 12688005 16917340 20300808 25376010 33834680 50752020 101504040