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30555040 = 255192232
BaseRepresentation
bin111010010001…
…1101110100000
32010111100122011
41310203232200
530310230130
63010522304
7520466515
oct164435640
963440564
1030555040
111627a4aa
12a296394
13643a809
1440b530c
152a3852a
hex1d23ba0

30555040 has 108 divisors (see below), whose sum is σ = 79641954. Its totient is φ = 11075328.

The previous prime is 30555037. The next prime is 30555043. The reversal of 30555040 is 4055503.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30555037) and next prime (30555043).

It can be written as a sum of positive squares in only one way, i.e., 27499536 + 3055504 = 5244^2 + 1748^2 .

It is a super-2 number, since 2×305550402 = 1867220938803200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (30555043) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1328469 + ... + 1328491.

Almost surely, 230555040 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 30555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39820977).

30555040 is an abundant number, since it is smaller than the sum of its proper divisors (49086914).

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

30555040 is a wasteful number, since it uses less digits than its factorization.

30555040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 22.

The square root of 30555040 is about 5527.6613499743. The cubic root of 30555040 is about 312.6278175801.

The spelling of 30555040 in words is "thirty million, five hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 23 32 38 40 46 76 80 92 95 115 152 160 184 190 230 304 361 368 380 437 460 529 608 722 736 760 874 920 1058 1444 1520 1748 1805 1840 2116 2185 2645 2888 3040 3496 3610 3680 4232 4370 5290 5776 6992 7220 8303 8464 8740 10051 10580 11552 13984 14440 16606 16928 17480 20102 21160 28880 33212 34960 40204 41515 42320 50255 57760 66424 69920 80408 83030 84640 100510 132848 160816 166060 190969 201020 265696 321632 332120 381938 402040 664240 763876 804080 954845 1328480 1527752 1608160 1909690 3055504 3819380 6111008 7638760 15277520 30555040