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1448150940 = 2233519713613
BaseRepresentation
bin101011001010001…
…0000011110011100
310201220221200122000
41112110100132130
510431211312230
6355410522300
750613036255
oct12624203634
93656850560
101448150940
11683497265
12344b96390
131a103a362
14da487b2c
1587206b60
hex5651079c

1448150940 has 96 divisors (see below), whose sum is σ = 4528560960. Its totient is φ = 384185088.

The previous prime is 1448150923. The next prime is 1448150941. The reversal of 1448150940 is 490518441.

1448150940 is a `hidden beast` number, since 144 + 8 + 1 + 509 + 4 + 0 = 666.

It is a super-2 number, since 2×14481509402 = 4194282290045767200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1448150895 and 1448150904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1448150941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99574 + ... + 113186.

It is an arithmetic number, because the mean of its divisors is an integer number (47172510).

Almost surely, 21448150940 is an apocalyptic number.

1448150940 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 1448150940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264280480).

1448150940 is an abundant number, since it is smaller than the sum of its proper divisors (3080410020).

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

1448150940 is a wasteful number, since it uses less digits than its factorization.

1448150940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13828 (or 13820 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1448150940 is about 38054.5784367663. The cubic root of 1448150940 is about 1131.3698738898.

The spelling of 1448150940 in words is "one billion, four hundred forty-eight million, one hundred fifty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 197 270 394 540 591 788 985 1182 1773 1970 2364 2955 3546 3940 5319 5910 7092 8865 10638 11820 13613 17730 21276 26595 27226 35460 40839 53190 54452 68065 81678 106380 122517 136130 163356 204195 245034 272260 367551 408390 490068 612585 735102 816780 1225170 1470204 1837755 2450340 2681761 3675510 5363522 7351020 8045283 10727044 13408805 16090566 24135849 26817610 32181132 40226415 48271698 53635220 72407547 80452830 96543396 120679245 144815094 160905660 241358490 289630188 362037735 482716980 724075470 1448150940