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2920745940 = 223572993451
BaseRepresentation
bin1010111000010111…
…0000101111010100
321112112220021012120
42232011300233110
521440202332230
61201453415540
7132243634200
oct25605605724
97475807176
102920745940
111269759722
1269619a5b0
13377155848
141d9c95b00
1512163b310
hexae170bd4

2920745940 has 72 divisors (see below), whose sum is σ = 9513296352. Its totient is φ = 667598400.

The previous prime is 2920745939. The next prime is 2920745983. The reversal of 2920745940 is 495470292.

2920745940 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 2920745892 and 2920745901.

It is a congruent number.

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, 493786 + ... + 499665.

It is an arithmetic number, because the mean of its divisors is an integer number (132129116).

Almost surely, 22920745940 is an apocalyptic number.

2920745940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2920745940 is an abundant number, since it is smaller than the sum of its proper divisors (6592550412).

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

2920745940 is a wasteful number, since it uses less digits than its factorization.

2920745940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993477 (or 993468 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 2920745940 is about 54043.9260231897. The cubic root of 2920745940 is about 1429.4355997213.

The spelling of 2920745940 in words is "two billion, nine hundred twenty million, seven hundred forty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 993451 1986902 2980353 3973804 4967255 5960706 6954157 9934510 11921412 13908314 14901765 19869020 20862471 27816628 29803530 34770785 41724942 48679099 59607060 69541570 83449884 97358198 104312355 139083140 146037297 194716396 208624710 243395495 292074594 417249420 486790990 584149188 730186485 973581980 1460372970 2920745940