Search a number
-
+
145414740 = 223523105373
BaseRepresentation
bin10001010101011…
…01101001010100
3101010121211112010
420222231221110
5244211232430
622232424220
73414001452
oct1052555124
9333554463
10145414740
11750a0279
1240848070
1324184b33
14154539d2
15cb75cb0
hex8aada54

145414740 has 48 divisors (see below), whose sum is σ = 424867968. Its totient is φ = 37090944.

The previous prime is 145414727. The next prime is 145414781. The reversal of 145414740 is 47414541.

It is a super-2 number, since 2×1454147402 = 42290893218535200, which contains 22 as substring.

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 = 145414698 and 145414707.

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 15 ways as a sum of consecutive naturals, for example, 51307 + ... + 54066.

It is an arithmetic number, because the mean of its divisors is an integer number (8851416).

Almost surely, 2145414740 is an apocalyptic number.

145414740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145414740 is an abundant number, since it is smaller than the sum of its proper divisors (279453228).

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

145414740 is a wasteful number, since it uses less digits than its factorization.

145414740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105408 (or 105406 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 145414740 is about 12058.8034232257. The cubic root of 145414740 is about 525.8592007979.

The spelling of 145414740 in words is "one hundred forty-five million, four hundred fourteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 105373 210746 316119 421492 526865 632238 1053730 1264476 1580595 2107460 2423579 3161190 4847158 6322380 7270737 9694316 12117895 14541474 24235790 29082948 36353685 48471580 72707370 145414740