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2030320032 = 253132235441
BaseRepresentation
bin111100100000100…
…0011100110100000
312020111101221111020
41321001003212200
513124230220112
6533244445440
7101212302246
oct17101034640
95214357436
102030320032
11952076544
12487b49880
13264831c00
1415390c796
15bd3a148c
hex790439a0

2030320032 has 144 divisors (see below), whose sum is σ = 6023118528. Its totient is φ = 597442560.

The previous prime is 2030320027. The next prime is 2030320037. The reversal of 2030320032 is 2300230302.

It is an interprime number because it is at equal distance from previous prime (2030320027) and next prime (2030320037).

It is a junction number, because it is equal to n+sod(n) for n = 2030319993 and 2030320020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030320037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370432 + ... + 375872.

It is an arithmetic number, because the mean of its divisors is an integer number (41827212).

Almost surely, 22030320032 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 2030320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011559264).

2030320032 is an abundant number, since it is smaller than the sum of its proper divisors (3992798496).

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

2030320032 is a wasteful number, since it uses less digits than its factorization.

2030320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5503 (or 5482 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 2030320032 is about 45059.0726935209. The cubic root of 2030320032 is about 1266.2559522827.

Adding to 2030320032 its reverse (2300230302), we get a palindrome (4330550334).

The spelling of 2030320032 in words is "two billion, thirty million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 69 78 92 96 104 138 156 169 184 208 276 299 312 338 368 416 507 552 598 624 676 736 897 1014 1104 1196 1248 1352 1794 2028 2208 2392 2704 3588 3887 4056 4784 5408 5441 7176 7774 8112 9568 10882 11661 14352 15548 16224 16323 21764 23322 28704 31096 32646 43528 46644 62192 65292 70733 87056 93288 124384 125143 130584 141466 174112 186576 212199 250286 261168 282932 373152 375429 424398 500572 522336 565864 750858 848796 919529 1001144 1131728 1501716 1626859 1697592 1839058 2002288 2263456 2758587 3003432 3253718 3395184 3678116 4004576 4880577 5517174 6006864 6507436 6790368 7356232 9761154 11034348 12013728 13014872 14712464 19522308 21149167 22068696 26029744 29424928 39044616 42298334 44137392 52059488 63447501 78089232 84596668 88274784 126895002 156178464 169193336 253790004 338386672 507580008 676773344 1015160016 2030320032