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145027740 = 2235111316903
BaseRepresentation
bin10001010010011…
…11001010011100
3101002220011122210
420221033022130
5244111341430
622220240420
73410500254
oct1051171234
9332804583
10145027740
1174956540
12406a0110
132407a940
1415392964
15caeb2b0
hex8a4f29c

145027740 has 96 divisors (see below), whose sum is σ = 477098496. Its totient is φ = 32451840.

The previous prime is 145027711. The next prime is 145027801. The reversal of 145027740 is 47720541.

145027740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 145027698 and 145027707.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 129 + ... + 17031.

It is an arithmetic number, because the mean of its divisors is an integer number (4969776).

Almost surely, 2145027740 is an apocalyptic number.

145027740 is a gapful number since it is divisible by the number (10) 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 145027740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238549248).

145027740 is an abundant number, since it is smaller than the sum of its proper divisors (332070756).

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

145027740 is a wasteful number, since it uses less digits than its factorization.

145027740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16939 (or 16937 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 145027740 is about 12042.7463645134. The cubic root of 145027740 is about 525.3922873033.

The spelling of 145027740 in words is "one hundred forty-five million, twenty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 16903 33806 50709 67612 84515 101418 169030 185933 202836 219739 253545 338060 371866 439478 507090 557799 659217 743732 878956 929665 1014180 1098695 1115598 1318434 1859330 2197390 2231196 2417129 2636868 2788995 3296085 3718660 4394780 4834258 5577990 6592170 7251387 9668516 11155980 12085645 13184340 14502774 24171290 29005548 36256935 48342580 72513870 145027740