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46870020 = 2232517353
BaseRepresentation
bin1011001011001…
…0111000000100
310021012020120200
42302302320010
543444320040
64352330500
71106250201
oct262627004
9107166520
1046870020
112450315a
1213843a30
139930852
146320ca8
1541ac630
hex2cb2e04

46870020 has 144 divisors (see below), whose sum is σ = 153906480. Its totient is φ = 11541504.

The previous prime is 46870001. The next prime is 46870079. The reversal of 46870020 is 2007864.

It can be written as a sum of positive squares in 8 ways, for example, as 412164 + 46457856 = 642^2 + 6816^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 884314 + ... + 884366.

It is an arithmetic number, because the mean of its divisors is an integer number (1068795).

Almost surely, 246870020 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 46870020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76953240).

46870020 is an abundant number, since it is smaller than the sum of its proper divisors (107036460).

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

46870020 is a wasteful number, since it uses less digits than its factorization.

46870020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 46870020 is about 6846.1682713763. The cubic root of 46870020 is about 360.5496234084.

Adding to 46870020 its reverse (2007864), we get a palindrome (48877884).

The spelling of 46870020 in words is "forty-six million, eight hundred seventy thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 53 60 68 85 90 102 106 153 159 170 180 204 212 255 265 289 306 318 340 477 510 530 578 612 636 765 795 867 901 954 1020 1060 1156 1445 1530 1590 1734 1802 1908 2385 2601 2703 2890 3060 3180 3468 3604 4335 4505 4770 4913 5202 5406 5780 8109 8670 9010 9540 9826 10404 10812 13005 13515 14739 15317 16218 17340 18020 19652 24565 26010 27030 29478 30634 32436 40545 44217 45951 49130 52020 54060 58956 61268 73695 76585 81090 88434 91902 98260 137853 147390 153170 162180 176868 183804 221085 229755 260389 275706 294780 306340 442170 459510 520778 551412 689265 781167 884340 919020 1041556 1301945 1378530 1562334 2343501 2603890 2757060 3124668 3905835 4687002 5207780 7811670 9374004 11717505 15623340 23435010 46870020