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405320001020 = 22511233151423
BaseRepresentation
bin1011110010111101111…
…01000110010111111100
31102202012110002102102122
411321132331012113330
523120043410013040
6510111302142112
741166131110034
oct5713675062774
91382173072378
10405320001020
11146993634960
1266678a21938
132c2b587b73c
14158909628c4
15a8239b01b5
hex5e5ef465fc

405320001020 has 96 divisors (see below), whose sum is σ = 970761093120. Its totient is φ = 140979938880.

The previous prime is 405320000963. The next prime is 405320001049. The reversal of 405320001020 is 20100023504.

It is a self number, because there is not a number n which added to its sum of digits gives 405320001020.

It is a congruent number.

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, 2601029 + ... + 2752451.

It is an arithmetic number, because the mean of its divisors is an integer number (10112094720).

Almost surely, 2405320001020 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 405320001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485380546560).

405320001020 is an abundant number, since it is smaller than the sum of its proper divisors (565441092100).

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

405320001020 is a wasteful number, since it uses less digits than its factorization.

405320001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151512 (or 151464 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 405320001020 its reverse (20100023504), we get a palindrome (425420024524).

The spelling of 405320001020 in words is "four hundred five billion, three hundred twenty million, one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 529 1012 1058 1265 2116 2530 2645 5060 5290 5819 10580 11638 12167 23276 24334 29095 48668 58190 60835 116380 121670 133837 151423 243340 267674 302846 535348 605692 669185 757115 1338370 1514230 1665653 2676740 3028460 3331306 3482729 6662612 6965458 8328265 13930916 16656530 17413645 33313060 34827290 38310019 69654580 76620038 80102767 153240076 160205534 191550095 320411068 383100190 400513835 766200380 801027670 881130437 1602055340 1762260874 1842363641 3524521748 3684727282 4405652185 7369454564 8811304370 9211818205 17622608740 18423636410 20266000051 36847272820 40532000102 81064000204 101330000255 202660000510 405320001020