Search a number
-
+
148674636 = 223311231367
BaseRepresentation
bin10001101110010…
…01100001001100
3101100202110021000
420313021201030
5301030042021
622430340300
73453466515
oct1067114114
9340673230
10148674636
1176a17500
124195a690
1324a56876
1415a61a0c
15d0bbb26
hex8dc984c

148674636 has 144 divisors (see below), whose sum is σ = 438538240. Its totient is φ = 43480800.

The previous prime is 148674613. The next prime is 148674641. The reversal of 148674636 is 636476841.

It is a happy number.

148674636 is a `hidden beast` number, since 1 + 4 + 8 + 6 + 7 + 4 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 148674591 and 148674600.

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, 404925 + ... + 405291.

Almost surely, 2148674636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148674636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219269120).

148674636 is an abundant number, since it is smaller than the sum of its proper divisors (289863604).

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

148674636 is a wasteful number, since it uses less digits than its factorization.

148674636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 414 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 148674636 is about 12193.2209034365. The cubic root of 148674636 is about 529.7597534610.

It can be divided in two parts, 14867 and 4636, that added together give a triangular number (19503 = T197).

The spelling of 148674636 in words is "one hundred forty-eight million, six hundred seventy-four thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 121 124 132 186 198 242 279 297 341 363 367 372 396 484 558 594 682 726 734 837 1023 1089 1101 1116 1188 1364 1452 1468 1674 2046 2178 2202 3069 3267 3303 3348 3751 4037 4092 4356 4404 6138 6534 6606 7502 8074 9207 9909 11253 11377 12111 12276 13068 13212 15004 16148 18414 19818 22506 22754 24222 33759 34131 36333 36828 39636 44407 45012 45508 48444 67518 68262 72666 88814 101277 102393 108999 125147 133221 135036 136524 145332 177628 202554 204786 217998 250294 266442 307179 375441 399663 405108 409572 435996 500588 532884 614358 750882 799326 1126323 1198989 1228716 1376617 1501764 1598652 2252646 2397978 2753234 3378969 4129851 4505292 4795956 5506468 6757938 8259702 12389553 13515876 16519404 24779106 37168659 49558212 74337318 148674636