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601057020 = 2235194671129
BaseRepresentation
bin100011110100110…
…110011011111100
31112212222212020010
4203310312123330
52212332311040
6135350423220
720615620554
oct4364663374
91485885203
10601057020
11289310043
12149361b10
13976a8a55
1459b80164
1537b7ae80
hex23d366fc

601057020 has 96 divisors (see below), whose sum is σ = 1776902400. Its totient is φ = 151386624.

The previous prime is 601057019. The next prime is 601057021. The reversal of 601057020 is 20750106.

It is an interprime number because it is at equal distance from previous prime (601057019) and next prime (601057021).

It is a super-2 number, since 2×6010570202 = 722539082582560800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601057021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531816 + ... + 532944.

It is an arithmetic number, because the mean of its divisors is an integer number (18509400).

Almost surely, 2601057020 is an apocalyptic number.

601057020 is a gapful number since it is divisible by the number (60) 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 601057020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888451200).

601057020 is an abundant number, since it is smaller than the sum of its proper divisors (1175845380).

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

601057020 is a wasteful number, since it uses less digits than its factorization.

601057020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 601057020 is about 24516.4642638371. The cubic root of 601057020 is about 843.9276665097.

The spelling of 601057020 in words is "six hundred one million, fifty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 467 570 934 1129 1140 1401 1868 2258 2335 2802 3387 4516 4670 5604 5645 6774 7005 8873 9340 11290 13548 14010 16935 17746 21451 22580 26619 28020 33870 35492 42902 44365 53238 64353 67740 85804 88730 106476 107255 128706 133095 177460 214510 257412 266190 321765 429020 527243 532380 643530 1054486 1287060 1581729 2108972 2636215 3163458 5272430 6326916 7908645 10017617 10544860 15817290 20035234 30052851 31634580 40070468 50088085 60105702 100176170 120211404 150264255 200352340 300528510 601057020