Search a number
-
+
145374720 = 293523823
BaseRepresentation
bin10001010101000…
…11111000000000
3101010112210121220
420222203320000
5244203442340
622231515040
73413444001
oct1052437000
9333483556
10145374720
11750731a7
1240828a80
132416c85a
14154431a8
15cb68ed0
hex8aa3e00

145374720 has 160 divisors (see below), whose sum is σ = 485540352. Its totient is φ = 37036032.

The previous prime is 145374683. The next prime is 145374727. The reversal of 145374720 is 27473541.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1453747202 = 42267618430156800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145374727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176229 + ... + 177051.

Almost surely, 2145374720 is an apocalyptic number.

145374720 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 145374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242770176).

145374720 is an abundant number, since it is smaller than the sum of its proper divisors (340165632).

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

145374720 is an equidigital number, since it uses as much as digits as its factorization.

145374720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 145374720 is about 12057.1439404197. The cubic root of 145374720 is about 525.8109553080.

The spelling of 145374720 in words is "one hundred forty-five million, three hundred seventy-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 512 552 640 690 736 768 823 920 960 1104 1280 1380 1472 1536 1646 1840 1920 2208 2469 2560 2760 2944 3292 3680 3840 4115 4416 4938 5520 5888 6584 7360 7680 8230 8832 9876 11040 11776 12345 13168 14720 16460 17664 18929 19752 22080 24690 26336 29440 32920 35328 37858 39504 44160 49380 52672 56787 58880 65840 75716 79008 88320 94645 98760 105344 113574 131680 151432 158016 176640 189290 197520 210688 227148 263360 283935 302864 316032 378580 395040 421376 454296 526720 567870 605728 632064 757160 790080 908592 1053440 1135740 1211456 1264128 1514320 1580160 1817184 2106880 2271480 2422912 3028640 3160320 3634368 4542960 4845824 6057280 6320640 7268736 9085920 9691648 12114560 14537472 18171840 24229120 29074944 36343680 48458240 72687360 145374720