Search a number
-
+
706401640 = 2357351487
BaseRepresentation
bin101010000110101…
…101010101101000
31211020012220212201
4222012231111220
52421314323030
6154032345544
723335213000
oct5206552550
91736186781
10706401640
1133282200a
121786a52b4
13b3471149
1469b63000
15420392ca
hex2a1ad568

706401640 has 64 divisors (see below), whose sum is σ = 1853568000. Its totient is φ = 242190144.

The previous prime is 706401637. The next prime is 706401653. The reversal of 706401640 is 46104607.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 706401599 and 706401608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12024 + ... + 39463.

It is an arithmetic number, because the mean of its divisors is an integer number (28962000).

Almost surely, 2706401640 is an apocalyptic number.

706401640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

706401640 is an abundant number, since it is smaller than the sum of its proper divisors (1147166360).

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

706401640 is a wasteful number, since it uses less digits than its factorization.

706401640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51519 (or 51501 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 706401640 is about 26578.2173969587. The cubic root of 706401640 is about 890.6024789052.

The spelling of 706401640 in words is "seven hundred six million, four hundred one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2744 3430 6860 13720 51487 102974 205948 257435 360409 411896 514870 720818 1029740 1441636 1802045 2059480 2522863 2883272 3604090 5045726 7208180 10091452 12614315 14416360 17660041 20182904 25228630 35320082 50457260 70640164 88300205 100914520 141280328 176600410 353200820 706401640