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530098920 = 233251328713
BaseRepresentation
bin11111100110001…
…010101011101000
31100221110211000100
4133212022223220
52041201131140
6124333505400
716064523621
oct3746125350
91327424010
10530098920
1125225518a
12129642260
1385a93100
145058ca48
1531811530
hex1f98aae8

530098920 has 144 divisors (see below), whose sum is σ = 1865754540. Its totient is φ = 130470912.

The previous prime is 530098897. The next prime is 530098931. The reversal of 530098920 is 29890035.

It can be written as a sum of positive squares in 6 ways, for example, as 184362084 + 345736836 = 13578^2 + 18594^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56484 + ... + 65196.

Almost surely, 2530098920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530098920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932877270).

530098920 is an abundant number, since it is smaller than the sum of its proper divisors (1335655620).

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

530098920 is a wasteful number, since it uses less digits than its factorization.

530098920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8756 (or 8736 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 530098920 is about 23023.8771713193. The cubic root of 530098920 is about 809.3175779440.

The spelling of 530098920 in words is "five hundred thirty million, ninety-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 169 180 195 234 260 312 338 360 390 468 507 520 585 676 780 845 936 1014 1170 1352 1521 1560 1690 2028 2340 2535 3042 3380 4056 4680 5070 6084 6760 7605 8713 10140 12168 15210 17426 20280 26139 30420 34852 43565 52278 60840 69704 78417 87130 104556 113269 130695 156834 174260 209112 226538 261390 313668 339807 348520 392085 453076 522780 566345 627336 679614 784170 906152 1019421 1045560 1132690 1359228 1472497 1568340 1699035 2038842 2265380 2718456 2944994 3136680 3398070 4077684 4417491 4530760 5097105 5889988 6796140 7362485 8155368 8834982 10194210 11779976 13252473 13592280 14724970 17669964 20388420 22087455 26504946 29449940 35339928 40776840 44174910 53009892 58899880 66262365 88349820 106019784 132524730 176699640 265049460 530098920