Search a number
-
+
740070006 = 231331421727
BaseRepresentation
bin101100000111001…
…001001001110110
31220120120110012020
4230013021021312
53003424220011
6201234134010
724224330334
oct5407111166
91816513166
10740070006
1134a828605
12187a21306
13ba42ba60
1470408b54
1544e8a006
hex2c1c9276

740070006 has 64 divisors (see below), whose sum is σ = 1651593216. Its totient is φ = 219542400.

The previous prime is 740069999. The next prime is 740070013. The reversal of 740070006 is 600070047.

It is an interprime number because it is at equal distance from previous prime (740069999) and next prime (740070013).

It is a super-2 number, since 2×7400700062 = 1095407227561680072, which contains 22 as substring.

It is a congruent number.

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, 1017615 + ... + 1018341.

It is an arithmetic number, because the mean of its divisors is an integer number (25806144).

Almost surely, 2740070006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 740070006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825796608).

740070006 is an abundant number, since it is smaller than the sum of its proper divisors (911523210).

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

740070006 is a wasteful number, since it uses less digits than its factorization.

740070006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197.

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 740070006 is about 27204.2277229110. The cubic root of 740070006 is about 904.5326915980.

The spelling of 740070006 in words is "seven hundred forty million, seventy thousand, six".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 421 727 806 842 1209 1263 1454 2181 2418 2526 4362 5473 9451 10946 13051 16419 18902 22537 26102 28353 32838 39153 45074 56706 67611 78306 135222 169663 292981 306067 339326 508989 585962 612134 878943 918201 1017978 1757886 1836402 3978871 7957742 9488077 11936613 18976154 23873226 28464231 56928462 123345001 246690002 370035003 740070006