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2804216940 = 2232572225569
BaseRepresentation
bin1010011100100100…
…1111010001101100
321020102121222110200
42213021033101230
521220334420230
61142132033500
7126330310410
oct24711172154
97212558420
102804216940
1112099a8768
12663162890
13358c75785
141c8600d40
151162be160
hexa724f46c

2804216940 has 72 divisors (see below), whose sum is σ = 9721289760. Its totient is φ = 640963584.

The previous prime is 2804216911. The next prime is 2804216951. The reversal of 2804216940 is 496124082.

2804216940 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2804216895 and 2804216904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1111525 + ... + 1114044.

Almost surely, 22804216940 is an apocalyptic number.

2804216940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2804216940 is an abundant number, since it is smaller than the sum of its proper divisors (6917072820).

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

2804216940 is a wasteful number, since it uses less digits than its factorization.

2804216940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225591 (or 2225586 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2804216940 is about 52954.8575675547. The cubic root of 2804216940 is about 1410.1669637805.

The spelling of 2804216940 in words is "two billion, eight hundred four million, two hundred sixteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2225569 4451138 6676707 8902276 11127845 13353414 15578983 20030121 22255690 26706828 31157966 33383535 40060242 44511380 46736949 62315932 66767070 77894915 80120484 93473898 100150605 133534140 140210847 155789830 186947796 200301210 233684745 280421694 311579660 400602420 467369490 560843388 701054235 934738980 1402108470 2804216940