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145162240 = 2165443
BaseRepresentation
bin10001010011100…
…00000000000000
3101010011000011021
420221300000000
5244130142430
622223155224
73411600346
oct1051600000
9333130137
10145162240
1174a385a3
1240745b14
13240c6c22
14153c9996
15cb2607a
hex8a70000

145162240 has 68 divisors (see below), whose sum is σ = 349173144. Its totient is φ = 57933824.

The previous prime is 145162183. The next prime is 145162289. The reversal of 145162240 is 42261541.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 327459 + ... + 327901.

Almost surely, 2145162240 is an apocalyptic number.

145162240 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 145162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174586572).

145162240 is an abundant number, since it is smaller than the sum of its proper divisors (204010904).

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

145162240 is an frugal number, since it uses more digits than its factorization.

145162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 145162240 is about 12048.3293447681. The cubic root of 145162240 is about 525.5546549274.

The spelling of 145162240 in words is "one hundred forty-five million, one hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 443 512 640 886 1024 1280 1772 2048 2215 2560 3544 4096 4430 5120 7088 8192 8860 10240 14176 16384 17720 20480 28352 32768 35440 40960 56704 65536 70880 81920 113408 141760 163840 226816 283520 327680 453632 567040 907264 1134080 1814528 2268160 3629056 4536320 7258112 9072640 14516224 18145280 29032448 36290560 72581120 145162240