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146749806 = 2347319139
BaseRepresentation
bin10001011111100…
…11100101101110
3101020010122220000
420233303211232
5300031443211
622321205130
73431232000
oct1057634556
9336118800
10146749806
1175922335
12411907a6
1324531708
14156c0370
15cd3b656
hex8bf396e

146749806 has 160 divisors (see below), whose sum is σ = 406560000. Its totient is φ = 39435984.

The previous prime is 146749789. The next prime is 146749817. The reversal of 146749806 is 608947641.

It is a super-2 number, since 2×1467498062 = 43071011122075272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1055685 + ... + 1055823.

It is an arithmetic number, because the mean of its divisors is an integer number (2541000).

Almost surely, 2146749806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146749806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203280000).

146749806 is an abundant number, since it is smaller than the sum of its proper divisors (259810194).

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

146749806 is a wasteful number, since it uses less digits than its factorization.

146749806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 146749806 is about 12114.0334323461. The cubic root of 146749806 is about 527.4636210995.

The spelling of 146749806 in words is "one hundred forty-six million, seven hundred forty-nine thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 81 98 114 126 133 139 147 162 171 189 266 278 294 342 343 378 399 417 441 513 567 686 798 834 882 931 973 1026 1029 1134 1197 1251 1323 1539 1862 1946 2058 2394 2502 2641 2646 2793 2919 3078 3087 3591 3753 3969 5282 5586 5838 6174 6517 6811 7182 7506 7923 7938 8379 8757 9261 10773 11259 13034 13622 15846 16758 17514 18487 18522 19551 20433 21546 22518 23769 25137 26271 27783 36974 39102 40866 47538 47677 50274 52542 55461 55566 58653 61299 71307 75411 78813 95354 110922 117306 122598 129409 142614 143031 150822 157626 166383 175959 183897 213921 258818 286062 332766 351918 367794 388227 427842 429093 499149 527877 551691 776454 858186 905863 998298 1055754 1103382 1164681 1287279 1497447 1811726 2329362 2574558 2717589 2994894 3494043 3861837 5435178 6988086 7723674 8152767 10482129 16305534 20964258 24458301 48916602 73374903 146749806