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40405020 = 22351923267
BaseRepresentation
bin1001101000100…
…0100000011100
32211000210021020
42122020200130
540320430040
64002004140
71000302615
oct232104034
984023236
1040405020
1120897987
1211646650
1384a8cc6
14551ac0c
153831cd0
hex268881c

40405020 has 144 divisors (see below), whose sum is σ = 126349440. Its totient is φ = 9618048.

The previous prime is 40405009. The next prime is 40405037. The reversal of 40405020 is 2050404.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 603027 + ... + 603093.

Almost surely, 240405020 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 40405020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63174720).

40405020 is an abundant number, since it is smaller than the sum of its proper divisors (85944420).

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

40405020 is a wasteful number, since it uses less digits than its factorization.

40405020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 40405020 is about 6356.4943168385. The cubic root of 40405020 is about 343.1456059436.

Adding to 40405020 its reverse (2050404), we get a palindrome (42455424).

The spelling of 40405020 in words is "forty million, four hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 30 38 46 57 60 67 69 76 92 95 114 115 134 138 190 201 228 230 268 276 285 335 345 380 402 437 460 529 570 670 690 804 874 1005 1058 1140 1273 1311 1340 1380 1541 1587 1748 2010 2116 2185 2546 2622 2645 3082 3174 3819 4020 4370 4623 5092 5244 5290 6164 6348 6365 6555 7638 7705 7935 8740 9246 10051 10580 12730 13110 15276 15410 15870 18492 19095 20102 23115 25460 26220 29279 30153 30820 31740 35443 38190 40204 46230 50255 58558 60306 70886 76380 87837 92460 100510 106329 117116 120612 141772 146395 150765 175674 177215 201020 212658 292790 301530 351348 354430 425316 439185 531645 585580 603060 673417 708860 878370 1063290 1346834 1756740 2020251 2126580 2693668 3367085 4040502 6734170 8081004 10101255 13468340 20202510 40405020