Search a number
-
+
146614006 = 27112235371
BaseRepresentation
bin10001011110100…
…10011011110110
3101012212202121101
420233102123312
5300013122011
622314240314
73430125040
oct1057223366
9335782541
10146614006
117583a300
124112609a
13244b4966
1415686a90
15cd112c1
hex8bd26f6

146614006 has 96 divisors (see below), whose sum is σ = 297851904. Its totient is φ = 52852800.

The previous prime is 146613989. The next prime is 146614019. The reversal of 146614006 is 600416641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2064951 + ... + 2065021.

It is an arithmetic number, because the mean of its divisors is an integer number (3102624).

Almost surely, 2146614006 is an apocalyptic number.

146614006 is an abundant number, since it is smaller than the sum of its proper divisors (151237898).

146614006 is a wasteful number, since it uses less digits than its factorization.

146614006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 146614006 is about 12108.4270654780. The cubic root of 146614006 is about 527.3008686616.

The spelling of 146614006 in words is "one hundred forty-six million, six hundred fourteen thousand, six".

Divisors: 1 2 7 11 14 22 23 46 53 71 77 106 121 142 154 161 242 253 322 371 497 506 583 742 781 847 994 1166 1219 1562 1633 1694 1771 2438 2783 3266 3542 3763 4081 5467 5566 6413 7526 8162 8533 8591 10934 11431 12826 13409 17066 17182 17963 19481 22862 26341 26818 35926 38962 41393 44891 52682 60137 82786 86549 89782 93863 120274 125741 147499 173098 187726 197593 251482 289751 294998 395186 455323 579502 605843 910646 952039 1032493 1211686 1383151 1904078 2064986 2766302 3187261 6374522 6664273 10472429 13328546 20944858 73307003 146614006