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420021002604 = 22373106196179
BaseRepresentation
bin1100001110010110011…
…00111110000101101100
31111011010222121200101210
412013023030332011230
523340200334040404
6520542135434420
742226340421000
oct6071314760554
91434128550353
10420021002604
111521479a6a45
12694a0225a10
13307b948a848
1416487194700
15add4412689
hex61cb33e16c

420021002604 has 96 divisors (see below), whose sum is σ = 1144003392000. Its totient is φ = 119891647680.

The previous prime is 420021002567. The next prime is 420021002641. The reversal of 420021002604 is 406200120024.

It is an interprime number because it is at equal distance from previous prime (420021002567) and next prime (420021002641).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4318987 + ... + 4415165.

It is an arithmetic number, because the mean of its divisors is an integer number (11916702000).

Almost surely, 2420021002604 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 420021002604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572001696000).

420021002604 is an abundant number, since it is smaller than the sum of its proper divisors (723982389396).

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

420021002604 is a wasteful number, since it uses less digits than its factorization.

420021002604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97268 (or 97252 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 420021002604 its reverse (406200120024), we get a palindrome (826221122628).

The spelling of 420021002604 in words is "four hundred twenty billion, twenty-one million, two thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1061 1372 2058 2122 3183 4116 4244 6366 7427 12732 14854 22281 29708 44562 51989 89124 96179 103978 155967 192358 207956 288537 311934 363923 384716 577074 623868 673253 727846 1091769 1154148 1346506 1455692 2019759 2183538 2693012 4039518 4367076 4712771 8079036 9425542 14138313 18851084 28276626 32989397 56553252 65978794 98968191 102045919 131957588 197936382 204091838 306137757 395872764 408183676 612275514 714321433 1224551028 1428642866 2142964299 2857285732 4285928598 5000250031 8571857196 10000500062 15000750093 20001000124 30001500186 35001750217 60003000372 70003500434 105005250651 140007000868 210010501302 420021002604