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145970640 = 2433567579
BaseRepresentation
bin10001011001101…
…01010111010000
3101011200002002000
420230311113100
5244332030030
622252354000
73421505244
oct1054652720
9334602060
10145970640
117543a9a2
1240a75900
132431ab7a
141555a424
15cc35860
hex8b355d0

145970640 has 80 divisors (see below), whose sum is σ = 502795200. Its totient is φ = 38924928.

The previous prime is 145970633. The next prime is 145970641. The reversal of 145970640 is 46079541.

145970640 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 7 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 145970595 and 145970604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145970641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31630 + ... + 35949.

It is an arithmetic number, because the mean of its divisors is an integer number (6284940).

Almost surely, 2145970640 is an apocalyptic number.

145970640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145970640 is an abundant number, since it is smaller than the sum of its proper divisors (356824560).

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

145970640 is a wasteful number, since it uses less digits than its factorization.

145970640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67601 (or 67589 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 145970640 is about 12081.8309870648. The cubic root of 145970640 is about 526.5284438493.

The spelling of 145970640 in words is "one hundred forty-five million, nine hundred seventy thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 67579 135158 202737 270316 337895 405474 540632 608211 675790 810948 1013685 1081264 1216422 1351580 1621896 1824633 2027370 2432844 2703160 3041055 3243792 3649266 4054740 4865688 5406320 6082110 7298532 8109480 9123165 9731376 12164220 14597064 16218960 18246330 24328440 29194128 36492660 48656880 72985320 145970640