Search a number
-
+
715061214 = 2327223101349
BaseRepresentation
bin101010100111101…
…111011111011110
31211211111212120200
4222213233133132
52431023424324
6154542124330
723501630400
oct5247573736
91754455520
10715061214
113376a708a
1217b5806a6
13b51b385a
146ad78b70
1542b99ec9
hex2a9ef7de

715061214 has 144 divisors (see below), whose sum is σ = 1904666400. Its totient is φ = 192931200.

The previous prime is 715061183. The next prime is 715061231. The reversal of 715061214 is 412160517.

It is a happy number.

It is a super-2 number, since 2×7150612142 = 1022625079534307592, 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 71 ways as a sum of consecutive naturals, for example, 2048712 + ... + 2049060.

It is an arithmetic number, because the mean of its divisors is an integer number (13226850).

Almost surely, 2715061214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 715061214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952333200).

715061214 is an abundant number, since it is smaller than the sum of its proper divisors (1189605186).

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

715061214 is a wasteful number, since it uses less digits than its factorization.

715061214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 715061214 is about 26740.6285266446. The cubic root of 715061214 is about 894.2269216614.

The spelling of 715061214 in words is "seven hundred fifteen million, sixty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 101 126 138 147 161 202 207 294 303 322 349 414 441 483 606 698 707 882 909 966 1047 1127 1414 1449 1818 2094 2121 2254 2323 2443 2898 3141 3381 4242 4646 4886 4949 6282 6363 6762 6969 7329 8027 9898 10143 12726 13938 14658 14847 16054 16261 17101 20286 20907 21987 24081 29694 32522 34202 35249 41814 43974 44541 48162 48783 51303 56189 70498 72243 89082 97566 102606 105747 112378 113827 144486 146349 153909 168567 211494 227654 246743 292698 307818 317241 337134 341481 393323 493486 505701 634482 682962 740229 786646 810727 1011402 1024443 1179969 1480458 1621454 1727201 2048886 2220687 2359938 2432181 3454402 3539907 4441374 4864362 5181603 5675089 7079814 7296543 10363206 11350178 14593086 15544809 17025267 31089618 34050534 39725623 51075801 79451246 102151602 119176869 238353738 357530607 715061214