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145862240 = 2551947981
BaseRepresentation
bin10001011000110…
…10111001100000
3101011110120101012
420230122321200
5244320042430
622250200052
73420544226
oct1054327140
9334416335
10145862240
1175376507
1240a23028
13242b0724
141552cb16
15cc13695
hex8b1ae60

145862240 has 48 divisors (see below), whose sum is σ = 362743920. Its totient is φ = 55272960.

The previous prime is 145862239. The next prime is 145862273. The reversal of 145862240 is 42268541.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 145862197 and 145862206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20951 + ... + 27030.

It is an arithmetic number, because the mean of its divisors is an integer number (7557165).

Almost surely, 2145862240 is an apocalyptic number.

145862240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145862240 is an abundant number, since it is smaller than the sum of its proper divisors (216881680).

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

145862240 is a wasteful number, since it uses less digits than its factorization.

145862240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48015 (or 48007 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 145862240 is about 12077.3440788942. The cubic root of 145862240 is about 526.3980755835.

The spelling of 145862240 in words is "one hundred forty-five million, eight hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 47981 95962 191924 239905 383848 479810 767696 911639 959620 1535392 1823278 1919240 3646556 3838480 4558195 7293112 7676960 9116390 14586224 18232780 29172448 36465560 72931120 145862240