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1232400150 = 233521038863
BaseRepresentation
bin100100101110100…
…1110111100010110
310011212222102012000
41021131032330112
510010443301100
6322142340130
742353141232
oct11135167426
93155872160
101232400150
11582726523
122a488a646
13168429a77
14b99655c2
15732da900
hex4974ef16

1232400150 has 96 divisors (see below), whose sum is σ = 3429304320. Its totient is φ = 325412640.

The previous prime is 1232400101. The next prime is 1232400157. The reversal of 1232400150 is 510042321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232400157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134619 + ... + 143481.

It is an arithmetic number, because the mean of its divisors is an integer number (35721920).

Almost surely, 21232400150 is an apocalyptic number.

1232400150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1232400150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714652160).

1232400150 is an abundant number, since it is smaller than the sum of its proper divisors (2196904170).

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

1232400150 is a wasteful number, since it uses less digits than its factorization.

1232400150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8987 (or 8976 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1232400150 is about 35105.5572523781. The cubic root of 1232400150 is about 1072.1377327996.

Adding to 1232400150 its reverse (510042321), we get a palindrome (1742442471).

The spelling of 1232400150 in words is "one billion, two hundred thirty-two million, four hundred thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 103 135 150 206 225 270 309 450 515 618 675 927 1030 1350 1545 1854 2575 2781 3090 4635 5150 5562 7725 8863 9270 13905 15450 17726 23175 26589 27810 44315 46350 53178 69525 79767 88630 132945 139050 159534 221575 239301 265890 398835 443150 478602 664725 797670 912889 1196505 1329450 1825778 1994175 2393010 2738667 3988350 4564445 5477334 5982525 8216001 9128890 11965050 13693335 16432002 22822225 24648003 27386670 41080005 45644450 49296006 68466675 82160010 123240015 136933350 205400025 246480030 410800050 616200075 1232400150