Search a number
-
+
145133744 = 2474779349
BaseRepresentation
bin10001010011010…
…01000010110000
3101010002120001212
420221221002300
5244123234434
622222415252
73411421310
oct1051510260
9333076055
10145133744
1174a19148
1240731528
13240b6c72
14153bd440
15cb1c8ce
hex8a690b0

145133744 has 80 divisors (see below), whose sum is σ = 333312000. Its totient is φ = 59933952.

The previous prime is 145133731. The next prime is 145133753. The reversal of 145133744 is 447331541.

It is a self number, because there is not a number n which added to its sum of digits gives 145133744.

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, 415682 + ... + 416030.

It is an arithmetic number, because the mean of its divisors is an integer number (4166400).

Almost surely, 2145133744 is an apocalyptic number.

145133744 is a gapful number since it is divisible by the number (14) 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 145133744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166656000).

145133744 is an abundant number, since it is smaller than the sum of its proper divisors (188178256).

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

145133744 is a wasteful number, since it uses less digits than its factorization.

145133744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 484 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 145133744 is about 12047.1467161316. The cubic root of 145133744 is about 525.5202630967.

The spelling of 145133744 in words is "one hundred forty-five million, one hundred thirty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 47 56 79 94 112 158 188 316 329 349 376 553 632 658 698 752 1106 1264 1316 1396 2212 2443 2632 2792 3713 4424 4886 5264 5584 7426 8848 9772 14852 16403 19544 25991 27571 29704 32806 39088 51982 55142 59408 65612 103964 110284 114821 131224 192997 207928 220568 229642 262448 385994 415856 441136 459284 771988 918568 1295837 1543976 1837136 2591674 3087952 5183348 9070859 10366696 18141718 20733392 36283436 72566872 145133744