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2070900324 = 2233294116127
BaseRepresentation
bin111101101101111…
…0110111001100100
312100022202122012000
41323123312321210
513220122302244
6541254325300
7102214235163
oct17333667144
95308678160
102070900324
11972a73079
12499659830
1327006c90c
141590733da
15c1c1a169
hex7b6f6e64

2070900324 has 96 divisors (see below), whose sum is σ = 5689958400. Its totient is φ = 650200320.

The previous prime is 2070900319. The next prime is 2070900361. The reversal of 2070900324 is 4230090702.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120349 + ... + 136475.

It is an arithmetic number, because the mean of its divisors is an integer number (59270400).

Almost surely, 22070900324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2070900324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844979200).

2070900324 is an abundant number, since it is smaller than the sum of its proper divisors (3619058076).

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

2070900324 is a wasteful number, since it uses less digits than its factorization.

2070900324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16210 (or 16202 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2070900324 is about 45507.1458564476. The cubic root of 2070900324 is about 1274.6366410938.

The spelling of 2070900324 in words is "two billion, seventy million, nine hundred thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 41 54 58 82 87 108 116 123 164 174 246 261 348 369 492 522 738 783 1044 1107 1189 1476 1566 2214 2378 3132 3567 4428 4756 7134 10701 14268 16127 21402 32103 32254 42804 48381 64206 64508 96762 128412 145143 193524 290286 435429 467683 580572 661207 870858 935366 1322414 1403049 1741716 1870732 1983621 2644828 2806098 3967242 4209147 5612196 5950863 7934484 8418294 11901726 12627441 16836588 17852589 19175003 23803452 25254882 35705178 38350006 50509764 57525009 71410356 76700012 115050018 172575027 230100036 345150054 517725081 690300108 1035450162 2070900324