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145920740 = 22572345317
BaseRepresentation
bin10001011001010…
…01001011100100
3101011120112121212
420230221023210
5244323430430
622251330552
73421206620
oct1054511344
9334515555
10145920740
1175406459
1240a50a58
1324301244
1415546180
15cc25b95
hex8b292e4

145920740 has 48 divisors (see below), whose sum is σ = 365444352. Its totient is φ = 47853696.

The previous prime is 145920737. The next prime is 145920757. The reversal of 145920740 is 47029541.

145920740 = T325 + T326 + ... + T968.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 145920697 and 145920706.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19439 + ... + 25878.

It is an arithmetic number, because the mean of its divisors is an integer number (7613424).

Almost surely, 2145920740 is an apocalyptic number.

145920740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145920740 is an abundant number, since it is smaller than the sum of its proper divisors (219523612).

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

145920740 is a wasteful number, since it uses less digits than its factorization.

145920740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45356 (or 45354 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 145920740 is about 12079.7657262051. The cubic root of 145920740 is about 526.4684391712.

The spelling of 145920740 in words is "one hundred forty-five million, nine hundred twenty thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 45317 90634 181268 226585 317219 453170 634438 906340 1042291 1268876 1586095 2084582 3172190 4169164 5211455 6344380 7296037 10422910 14592074 20845820 29184148 36480185 72960370 145920740