Search a number
-
+
146497536 = 213321987
BaseRepresentation
bin10001011101101…
…10000000000000
3101012122211211200
420232312000000
5300000410121
622311541200
73426131343
oct1056660000
9335584750
10146497536
117576a849
124108a800
1324473943
141565645a
15ccdba26
hex8bb6000

146497536 has 84 divisors (see below), whose sum is σ = 423402252. Its totient is φ = 48807936.

The previous prime is 146497513. The next prime is 146497553. The reversal of 146497536 is 635794641.

It is a junction number, because it is equal to n+sod(n) for n = 146497491 and 146497500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72735 + ... + 74721.

It is an arithmetic number, because the mean of its divisors is an integer number (5040503).

Almost surely, 2146497536 is an apocalyptic number.

146497536 is a gapful number since it is divisible by the number (16) 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 146497536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211701126).

146497536 is an abundant number, since it is smaller than the sum of its proper divisors (276904716).

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

146497536 is an equidigital number, since it uses as much as digits as its factorization.

146497536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 1992 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 146497536 is about 12103.6166495804. The cubic root of 146497536 is about 527.1612026010.

The spelling of 146497536 in words is "one hundred forty-six million, four hundred ninety-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1987 2048 2304 3072 3974 4096 4608 5961 6144 7948 8192 9216 11922 12288 15896 17883 18432 23844 24576 31792 35766 36864 47688 63584 71532 73728 95376 127168 143064 190752 254336 286128 381504 508672 572256 763008 1017344 1144512 1526016 2034688 2289024 3052032 4069376 4578048 6104064 8138752 9156096 12208128 16277504 18312192 24416256 36624384 48832512 73248768 146497536