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530354023040 = 2752953539153
BaseRepresentation
bin1111011011110111001…
…00000010101010000000
31212200221021122211221002
413231323210002222000
532142131112214130
61043350303151132
753213444546342
oct7557344025200
91780837584832
10530354023040
11194a16024256
12869525a54a8
133b02097725a
141b9526a5292
15dbe088cb45
hex7b7b902a80

530354023040 has 128 divisors (see below), whose sum is σ = 1336347104400. Its totient is φ = 200961359872.

The previous prime is 530354022967. The next prime is 530354023049. The reversal of 530354023040 is 40320453035.

It can be written as a sum of positive squares in 8 ways, for example, as 346299294784 + 184054728256 = 588472^2 + 429016^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 530354022994 and 530354023012.

It is not an unprimeable number, because it can be changed into a prime (530354023049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 714104 + ... + 1253256.

Almost surely, 2530354023040 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 530354023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668173552200).

530354023040 is an abundant number, since it is smaller than the sum of its proper divisors (805993081360).

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

530354023040 is a wasteful number, since it uses less digits than its factorization.

530354023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539254 (or 539242 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 29.

Adding to 530354023040 its reverse (40320453035), we get a palindrome (570674476075).

The spelling of 530354023040 in words is "five hundred thirty billion, three hundred fifty-four million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 53 58 64 80 106 116 128 145 160 212 232 265 290 320 424 464 530 580 640 848 928 1060 1160 1537 1696 1856 2120 2320 3074 3392 3712 4240 4640 6148 6784 7685 8480 9280 12296 15370 16960 18560 24592 30740 33920 49184 61480 98368 122960 196736 245920 491840 539153 983680 1078306 2156612 2695765 4313224 5391530 8626448 10783060 15635437 17252896 21566120 28575109 31270874 34505792 43132240 57150218 62541748 69011584 78177185 86264480 114300436 125083496 142875545 156354370 172528960 228600872 250166992 285751090 312708740 345057920 457201744 500333984 571502180 625417480 828678161 914403488 1000667968 1143004360 1250834960 1657356322 1828806976 2001335936 2286008720 2501669920 3314712644 3657613952 4143390805 4572017440 5003339840 6629425288 8286781610 9144034880 10006679680 13258850576 16573563220 18288069760 26517701152 33147126440 53035402304 66294252880 106070804608 132588505760 265177011520 530354023040