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145027440 = 24325712837
BaseRepresentation
bin10001010010011…
…11000101110000
3101002220011020200
420221033011300
5244111334230
622220235200
73410466345
oct1051170560
9332804220
10145027440
1174956298
124069bb00
132407a76c
14153927cc
15caeb160
hex8a4f170

145027440 has 120 divisors (see below), whose sum is σ = 494084448. Its totient is φ = 38115840.

The previous prime is 145027429. The next prime is 145027447. The reversal of 145027440 is 44720541.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145027447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49702 + ... + 52538.

Almost surely, 2145027440 is an apocalyptic number.

145027440 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 145027440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247042224).

145027440 is an abundant number, since it is smaller than the sum of its proper divisors (349057008).

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

145027440 is a wasteful number, since it uses less digits than its factorization.

145027440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 145027440 is about 12042.7339088763. The cubic root of 145027440 is about 525.3919250329.

Adding to 145027440 its reverse (44720541), we get a palindrome (189747981).

The spelling of 145027440 in words is "one hundred forty-five million, twenty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 71 72 80 90 120 142 144 180 213 240 284 355 360 426 568 639 710 720 852 1065 1136 1278 1420 1704 2130 2556 2837 2840 3195 3408 4260 5112 5674 5680 6390 8511 8520 10224 11348 12780 14185 17022 17040 22696 25533 25560 28370 34044 42555 45392 51066 51120 56740 68088 85110 102132 113480 127665 136176 170220 201427 204264 226960 255330 340440 402854 408528 510660 604281 680880 805708 1007135 1021320 1208562 1611416 1812843 2014270 2042640 2417124 3021405 3222832 3625686 4028540 4834248 6042810 7251372 8057080 9064215 9668496 12085620 14502744 16114160 18128430 24171240 29005488 36256860 48342480 72513720 145027440