Search a number
-
+
146910204 = 223271961503
BaseRepresentation
bin10001100000110…
…10101111111100
3101020102210220200
420300122233330
5300102111304
622324443500
73432500430
oct1060325774
9336383820
10146910204
1175a218a1
1241249590
132458971c
14157229c0
15cd6de39
hex8c1abfc

146910204 has 144 divisors (see below), whose sum is σ = 454970880. Its totient is φ = 39035520.

The previous prime is 146910157. The next prime is 146910263. The reversal of 146910204 is 402019641.

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, 291817 + ... + 292319.

It is an arithmetic number, because the mean of its divisors is an integer number (3159520).

Almost surely, 2146910204 is an apocalyptic number.

146910204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146910204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227485440).

146910204 is an abundant number, since it is smaller than the sum of its proper divisors (308060676).

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

146910204 is a wasteful number, since it uses less digits than its factorization.

146910204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 146910204 is about 12120.6519626627. The cubic root of 146910204 is about 527.6557242596.

Adding to 146910204 its reverse (402019641), we get a palindrome (548929845).

The spelling of 146910204 in words is "one hundred forty-six million, nine hundred ten thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 61 63 76 84 114 122 126 133 171 183 228 244 252 266 342 366 399 427 503 532 549 684 732 798 854 1006 1098 1159 1197 1281 1509 1596 1708 2012 2196 2318 2394 2562 3018 3477 3521 3843 4527 4636 4788 5124 6036 6954 7042 7686 8113 9054 9557 10431 10563 13908 14084 15372 16226 18108 19114 20862 21126 24339 28671 30683 31689 32452 38228 41724 42252 48678 57342 61366 63378 66899 73017 86013 92049 97356 114684 122732 126756 133798 146034 172026 184098 200697 214781 267596 276147 292068 344052 368196 401394 429562 552294 582977 602091 644343 802788 859124 1104588 1165954 1204182 1288686 1748931 1933029 2331908 2408364 2577372 3497862 3866058 4080839 5246793 6995724 7732116 8161678 10493586 12242517 16323356 20987172 24485034 36727551 48970068 73455102 146910204