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4100030520 = 23351915111909
BaseRepresentation
bin1111010001100001…
…1000000000111000
3101120201221010112020
43310120120000320
531344101434040
61514501514440
7203413453515
oct36430300070
911521833466
104100030520
1118143a6683
12965112a20
13504576081
142ac75230c
1518ee33cd0
hexf4618038

4100030520 has 128 divisors (see below), whose sum is σ = 13034304000. Its totient is φ = 1028851200.

The previous prime is 4100030489. The next prime is 4100030549. The reversal of 4100030520 is 250300014.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4100030520.

It is a congruent number.

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, 338326 + ... + 350234.

It is an arithmetic number, because the mean of its divisors is an integer number (101830500).

Almost surely, 24100030520 is an apocalyptic number.

4100030520 is a gapful number since it is divisible by the number (40) 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 4100030520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6517152000).

4100030520 is an abundant number, since it is smaller than the sum of its proper divisors (8934273480).

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

4100030520 is a wasteful number, since it uses less digits than its factorization.

4100030520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12093 (or 12089 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 4100030520 is about 64031.4806950456. The cubic root of 4100030520 is about 1600.5246352465.

Adding to 4100030520 its reverse (250300014), we get a palindrome (4350330534).

The spelling of 4100030520 in words is "four billion, one hundred million, thirty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 151 152 190 228 285 302 380 453 456 570 604 755 760 906 1140 1208 1510 1812 2265 2280 2869 3020 3624 4530 5738 6040 8607 9060 11476 11909 14345 17214 18120 22952 23818 28690 34428 35727 43035 47636 57380 59545 68856 71454 86070 95272 114760 119090 142908 172140 178635 226271 238180 285816 344280 357270 452542 476360 678813 714540 905084 1131355 1357626 1429080 1798259 1810168 2262710 2715252 3394065 3596518 4525420 5394777 5430504 6788130 7193036 8991295 9050840 10789554 13576260 14386072 17982590 21579108 26973885 27152520 34166921 35965180 43158216 53947770 68333842 71930360 102500763 107895540 136667684 170834605 205001526 215791080 273335368 341669210 410003052 512503815 683338420 820006104 1025007630 1366676840 2050015260 4100030520