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2037417420 = 2235711373491
BaseRepresentation
bin111100101110000…
…1000010111001100
312020222202112021110
41321130020113030
513133034324140
6534100532020
7101326522323
oct17134102714
95228675243
102037417420
11956083955
1248a3b1010
1326614854c
141548390ba
15bdd04380
hex797085cc

2037417420 has 96 divisors (see below), whose sum is σ = 5829014016. Its totient is φ = 531596800.

The previous prime is 2037417397. The next prime is 2037417449. The reversal of 2037417420 is 247147302.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 581875 + ... + 585365.

It is an arithmetic number, because the mean of its divisors is an integer number (60718896).

Almost surely, 22037417420 is an apocalyptic number.

2037417420 is a gapful number since it is divisible by the number (20) 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 2037417420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914507008).

2037417420 is an abundant number, since it is smaller than the sum of its proper divisors (3791596596).

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

2037417420 is a wasteful number, since it uses less digits than its factorization.

2037417420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 2037417420 is about 45137.7604672629. The cubic root of 2037417420 is about 1267.7297196152.

The spelling of 2037417420 in words is "two billion, thirty-seven million, four hundred seventeen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 137 142 213 274 284 355 411 426 548 685 710 822 852 1065 1370 1420 1644 2055 2130 2740 3491 4110 4260 6982 8220 9727 10473 13964 17455 19454 20946 29181 34910 38908 41892 48635 52365 58362 69820 97270 104730 116724 145905 194540 209460 247861 291810 478267 495722 583620 743583 956534 991444 1239305 1434801 1487166 1913068 2391335 2478610 2869602 2974332 3717915 4782670 4957220 5739204 7174005 7435830 9565340 14348010 14871660 28696020 33956957 67913914 101870871 135827828 169784785 203741742 339569570 407483484 509354355 679139140 1018708710 2037417420