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2869977040 = 24573412551
BaseRepresentation
bin1010101100010000…
…0101111111010000
321102000100221100221
42223010011333100
521334203231130
61152441322424
7131056255000
oct25304057720
97360327327
102869977040
111243033257
12681196414
1336978b488
141d323c000
1511be5d87a
hexab105fd0

2869977040 has 160 divisors (see below), whose sum is σ = 7974489600. Its totient is φ = 959616000.

The previous prime is 2869977031. The next prime is 2869977041. The reversal of 2869977040 is 407799682.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2869977041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1123765 + ... + 1126315.

It is an arithmetic number, because the mean of its divisors is an integer number (49840560).

Almost surely, 22869977040 is an apocalyptic number.

2869977040 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 2869977040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987244800).

2869977040 is an abundant number, since it is smaller than the sum of its proper divisors (5104512560).

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

2869977040 is a wasteful number, since it uses less digits than its factorization.

2869977040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The square root of 2869977040 is about 53572.1666539631. The cubic root of 2869977040 is about 1421.1049127003.

The spelling of 2869977040 in words is "two billion, eight hundred sixty-nine million, nine hundred seventy-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 49 56 70 80 82 98 112 140 164 196 205 245 280 287 328 343 392 410 490 560 574 656 686 784 820 980 1148 1372 1435 1640 1715 1960 2009 2296 2551 2744 2870 3280 3430 3920 4018 4592 5102 5488 5740 6860 8036 10045 10204 11480 12755 13720 14063 16072 17857 20090 20408 22960 25510 27440 28126 32144 35714 40180 40816 51020 56252 70315 71428 80360 89285 102040 104591 112504 124999 140630 142856 160720 178570 204080 209182 225008 249998 281260 285712 357140 418364 499996 522955 562520 624995 714280 732137 836728 874993 999992 1045910 1125040 1249990 1428560 1464274 1673456 1749986 1999984 2091820 2499980 2928548 3499972 3660685 4183640 4374965 4999960 5124959 5857096 6999944 7321370 8367280 8749930 9999920 10249918 11714192 13999888 14642740 17499860 20499836 25624795 29285480 34999720 35874713 40999672 51249590 58570960 69999440 71749426 81999344 102499180 143498852 179373565 204998360 286997704 358747130 409996720 573995408 717494260 1434988520 2869977040