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601000704 = 28321913729
BaseRepresentation
bin100011110100101…
…000101100000000
31112212212222222100
4203310220230000
52212324010304
6135345310400
720615264433
oct4364505400
91485788870
10601000704
112892817a7
12149335400
1397689225
1459b6781a
1537b69439
hex23d28b00

601000704 has 108 divisors (see below), whose sum is σ = 1824167800. Its totient is φ = 189775872.

The previous prime is 601000693. The next prime is 601000709. The reversal of 601000704 is 407000106.

It is a super-2 number, since 2×6010007042 = 722403692416991232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601000709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36912 + ... + 50640.

Almost surely, 2601000704 is an apocalyptic number.

601000704 is a gapful number since it is divisible by the number (64) 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 601000704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912083900).

601000704 is an abundant number, since it is smaller than the sum of its proper divisors (1223167096).

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

601000704 is a wasteful number, since it uses less digits than its factorization.

601000704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13770 (or 13753 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 601000704 is about 24515.3157026378. The cubic root of 601000704 is about 843.9013084365.

The spelling of 601000704 in words is "six hundred one million, seven hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2736 3648 4864 5472 7296 10944 13729 14592 21888 27458 41187 43776 54916 82374 109832 123561 164748 219664 247122 260851 329496 439328 494244 521702 658992 782553 878656 988488 1043404 1317984 1565106 1757312 1976976 2086808 2347659 2635968 3130212 3514624 3953952 4173616 4695318 5271936 6260424 7907904 8347232 9390636 10543872 12520848 15815808 16694464 18781272 25041696 31631616 33388928 37562544 50083392 66777856 75125088 100166784 150250176 200333568 300500352 601000704