Search a number
-
+
2074900464 = 2432713158341
BaseRepresentation
bin111101110101100…
…0111011111110000
312100121021212100100
41323223013133300
513222133303324
6541520152400
7102263235330
oct17353073760
95317255310
102074900464
1197525547a
1249aa68700
13270b40570
141597d50c0
15c225a4c9
hex7bac77f0

2074900464 has 120 divisors (see below), whose sum is σ = 7146924512. Its totient is φ = 547223040.

The previous prime is 2074900447. The next prime is 2074900481. The reversal of 2074900464 is 4640094702.

It is an interprime number because it is at equal distance from previous prime (2074900447) and next prime (2074900481).

It is a super-3 number, since 3×20749004643 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 66067 + ... + 92274.

Almost surely, 22074900464 is an apocalyptic number.

2074900464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2074900464 is an abundant number, since it is smaller than the sum of its proper divisors (5072024048).

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

2074900464 is a wasteful number, since it uses less digits than its factorization.

2074900464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158375 (or 158366 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2074900464 is about 45551.0753330808. The cubic root of 2074900464 is about 1275.4568070192.

The spelling of 2074900464 in words is "two billion, seventy-four million, nine hundred thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 158341 316682 475023 633364 950046 1108387 1266728 1425069 1900092 2058433 2216774 2533456 2850138 3325161 3800184 4116866 4433548 5700276 6175299 6650322 7600368 8233732 8867096 9975483 11400552 12350598 13300644 14409031 16467464 17734192 18525897 19950966 22801104 24701196 26601288 28818062 32934928 37051794 39901932 43227093 49402392 53202576 57636124 74103588 79803864 86454186 98804784 115272248 129681279 148207176 159607728 172908372 230544496 259362558 296414352 345816744 518725116 691633488 1037450232 2074900464