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145026432 = 2732312131
BaseRepresentation
bin10001010010011…
…10110110000000
3101002220002212100
420221032312000
5244111321212
622220230400
73410463405
oct1051166600
9332802770
10145026432
1174955561
124069b400
132407a175
14153922ac
15caeabdc
hex8a4ed80

145026432 has 144 divisors (see below), whose sum is σ = 434516940. Its totient is φ = 46425600.

The previous prime is 145026407. The next prime is 145026433. The reversal of 145026432 is 234620541.

145026432 is a `hidden beast` number, since 14 + 5 + 0 + 2 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 145026396 and 145026405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145026433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1107007 + ... + 1107137.

Almost surely, 2145026432 is an apocalyptic number.

145026432 is a gapful number since it is divisible by the number (12) 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 145026432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217258470).

145026432 is an abundant number, since it is smaller than the sum of its proper divisors (289490508).

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

145026432 is a wasteful number, since it uses less digits than its factorization.

145026432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 145026432 is about 12042.6920578416. The cubic root of 145026432 is about 525.3907078005.

Adding to 145026432 its reverse (234620541), we get a palindrome (379646973).

The spelling of 145026432 in words is "one hundred forty-five million, twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 131 144 186 192 248 262 279 288 372 384 393 496 524 558 576 744 786 961 992 1048 1116 1152 1179 1488 1572 1922 1984 2096 2232 2358 2883 2976 3144 3844 3968 4061 4192 4464 4716 5766 5952 6288 7688 8122 8384 8649 8928 9432 11532 11904 12183 12576 15376 16244 16768 17298 17856 18864 23064 24366 25152 30752 32488 34596 35712 36549 37728 46128 48732 50304 61504 64976 69192 73098 75456 92256 97464 123008 125891 129952 138384 146196 150912 184512 194928 251782 259904 276768 292392 369024 377673 389856 503564 519808 553536 584784 755346 779712 1007128 1107072 1133019 1169568 1510692 1559424 2014256 2266038 2339136 3021384 4028512 4532076 4678272 6042768 8057024 9064152 12085536 16114048 18128304 24171072 36256608 48342144 72513216 145026432