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146456464 = 247112101107
BaseRepresentation
bin10001011101010…
…11111110010000
3101012120202111111
420232223332100
5244443101324
622311023104
73425600530
oct1056537620
9335522444
10146456464
1175741a00
124106aa94
132445b03b
14156454c0
15ccce794
hex8babf90

146456464 has 120 divisors (see below), whose sum is σ = 363351744. Its totient is φ = 55968000.

The previous prime is 146456461. The next prime is 146456477. The reversal of 146456464 is 464654641.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (146456461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1368699 + ... + 1368805.

Almost surely, 2146456464 is an apocalyptic number.

146456464 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 146456464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181675872).

146456464 is an abundant number, since it is smaller than the sum of its proper divisors (216895280).

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

146456464 is a wasteful number, since it uses less digits than its factorization.

146456464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 228 counting only the distinct ones).

The product of its digits is 276480, while the sum is 40.

The square root of 146456464 is about 12101.9198476936. The cubic root of 146456464 is about 527.1119330837. Note that the first 3 decimals are identical.

The spelling of 146456464 in words is "one hundred forty-six million, four hundred fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 101 107 112 121 154 176 202 214 242 308 404 428 484 616 707 749 808 847 856 968 1111 1177 1232 1414 1498 1616 1694 1712 1936 2222 2354 2828 2996 3388 4444 4708 5656 5992 6776 7777 8239 8888 9416 10807 11312 11984 12221 12947 13552 15554 16478 17776 18832 21614 24442 25894 31108 32956 43228 48884 51788 62216 65912 75649 85547 86456 90629 97768 103576 118877 124432 131824 151298 171094 172912 181258 195536 207152 237754 302596 342188 362516 475508 605192 684376 725032 832139 951016 1210384 1307647 1368752 1450064 1664278 1902032 2615294 3328556 5230588 6657112 9153529 10461176 13314224 18307058 20922352 36614116 73228232 146456464