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145051032 = 23374092111
BaseRepresentation
bin10001010010101…
…00110110011000
3101002221100121110
420221110312120
5244113113112
622220540320
73410625210
oct1051246630
9332840543
10145051032
1174971a95
12406b16a0
1324088419
141539b240
15cb0313c
hex8a54d98

145051032 has 64 divisors (see below), whose sum is σ = 415641600. Its totient is φ = 41322240.

The previous prime is 145051013. The next prime is 145051033. The reversal of 145051032 is 230150541.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145051033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67657 + ... + 69767.

It is an arithmetic number, because the mean of its divisors is an integer number (6494400).

Almost surely, 2145051032 is an apocalyptic number.

145051032 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 145051032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207820800).

145051032 is an abundant number, since it is smaller than the sum of its proper divisors (270590568).

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

145051032 is a wasteful number, since it uses less digits than its factorization.

145051032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 145051032 is about 12043.7133808473. The cubic root of 145051032 is about 525.4204124562.

The spelling of 145051032 in words is "one hundred forty-five million, fifty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 409 818 1227 1636 2111 2454 2863 3272 4222 4908 5726 6333 8444 8589 9816 11452 12666 14777 16888 17178 22904 25332 29554 34356 44331 50664 59108 68712 88662 118216 177324 354648 863399 1726798 2590197 3453596 5180394 6043793 6907192 10360788 12087586 18131379 20721576 24175172 36262758 48350344 72525516 145051032