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2670780200 = 2352113139161
BaseRepresentation
bin1001111100110000…
…1101111100101000
320220010112200200012
42133030031330220
520432204431300
61121004031052
7123120154124
oct23714157450
96803480605
102670780200
111150649770
12626532488
1333742591a
141b49c8584
15109712435
hex9f30df28

2670780200 has 96 divisors (see below), whose sum is σ = 6992766720. Its totient is φ = 939840000.

The previous prime is 2670780193. The next prime is 2670780247. The reversal of 2670780200 is 20870762.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48620 + ... + 87780.

It is an arithmetic number, because the mean of its divisors is an integer number (72841320).

Almost surely, 22670780200 is an apocalyptic number.

2670780200 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 2670780200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496383360).

2670780200 is an abundant number, since it is smaller than the sum of its proper divisors (4321986520).

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

2670780200 is a wasteful number, since it uses less digits than its factorization.

2670780200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39219 (or 39210 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 2670780200 is about 51679.5917166535. The cubic root of 2670780200 is about 1387.4352235538.

The spelling of 2670780200 in words is "two billion, six hundred seventy million, seven hundred eighty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 155 200 220 248 275 310 341 440 550 620 682 775 1100 1240 1364 1550 1705 2200 2728 3100 3410 6200 6820 8525 13640 17050 34100 39161 68200 78322 156644 195805 313288 391610 430771 783220 861542 979025 1213991 1566440 1723084 1958050 2153855 2427982 3446168 3916100 4307710 4855964 6069955 7832200 8615420 9711928 10769275 12139910 13353901 17230840 21538550 24279820 26707802 30349775 43077100 48559640 53415604 60699550 66769505 86154200 106831208 121399100 133539010 242798200 267078020 333847525 534156040 667695050 1335390100 2670780200