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2097450040 = 235723325691
BaseRepresentation
bin111110100000100…
…1000110000111000
312102011201111112211
41331001020300320
513243421400130
6544043344504
7102656013460
oct17501106070
95364644484
102097450040
11986a57294
124a6522134
132757072ca
1415c7c4ba0
15c4211a2a
hex7d048c38

2097450040 has 64 divisors (see below), whose sum is σ = 5627957760. Its totient is φ = 687857280.

The previous prime is 2097450031. The next prime is 2097450053. The reversal of 2097450040 is 400547902.

It is a junction number, because it is equal to n+sod(n) for n = 2097449984 and 2097450011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156406 + ... + 169285.

It is an arithmetic number, because the mean of its divisors is an integer number (87936840).

Almost surely, 22097450040 is an apocalyptic number.

2097450040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2097450040 is an abundant number, since it is smaller than the sum of its proper divisors (3530507720).

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

2097450040 is a wasteful number, since it uses less digits than its factorization.

2097450040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325732 (or 325728 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 2097450040 is about 45797.9261539210. The cubic root of 2097450040 is about 1280.0606335210.

Adding to 2097450040 its reverse (400547902), we get a palindrome (2497997942).

The spelling of 2097450040 in words is "two billion, ninety-seven million, four hundred fifty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 325691 651382 1302764 1628455 2279837 2605528 3256910 4559674 6513820 7490893 9119348 11399185 13027640 14981786 18238696 22798370 29963572 37454465 45596740 52436251 59927144 74908930 91193480 104872502 149817860 209745004 262181255 299635720 419490008 524362510 1048725020 2097450040