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145930720 = 25513174127
BaseRepresentation
bin10001011001010…
…11100111100000
3101011121001022111
420230223213200
5244324240340
622251445104
73421250665
oct1054534740
9334531274
10145930720
1175412a01
1240a56794
1324305950
1415549a6c
15cc28aea
hex8b2b9e0

145930720 has 96 divisors (see below), whose sum is σ = 393216768. Its totient is φ = 50700288.

The previous prime is 145930693. The next prime is 145930721. The reversal of 145930720 is 27039541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145930721) by changing a digit.

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, 33297 + ... + 37423.

It is an arithmetic number, because the mean of its divisors is an integer number (4096008).

Almost surely, 2145930720 is an apocalyptic number.

145930720 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 145930720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196608384).

145930720 is an abundant number, since it is smaller than the sum of its proper divisors (247286048).

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

145930720 is a wasteful number, since it uses less digits than its factorization.

145930720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 145930720 is about 12080.1788066237. The cubic root of 145930720 is about 526.4804412011.

The spelling of 145930720 in words is "one hundred forty-five million, nine hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 65 68 80 85 104 130 136 160 170 208 221 260 272 340 416 442 520 544 680 884 1040 1105 1360 1768 2080 2210 2720 3536 4127 4420 7072 8254 8840 16508 17680 20635 33016 35360 41270 53651 66032 70159 82540 107302 132064 140318 165080 214604 268255 280636 330160 350795 429208 536510 561272 660320 701590 858416 912067 1073020 1122544 1403180 1716832 1824134 2146040 2245088 2806360 3648268 4292080 4560335 5612720 7296536 8584160 9120670 11225440 14593072 18241340 29186144 36482680 72965360 145930720