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152132430400 = 2652909110459
BaseRepresentation
bin1000110110101111001…
…1001010101001000000
3112112200101000012110021
42031223303022221000
54443031400233100
6153515541543224
713663661215336
oct2155363125100
9475611005407
10152132430400
1159578877725
1225598a14b14
13114662b35b2
147512a7db56
153e55e00a1a
hex236bccaa40

152132430400 has 84 divisors (see below), whose sum is σ = 374417833840. Its totient is φ = 60840460800.

The previous prime is 152132430391. The next prime is 152132430407. The reversal of 152132430400 is 4034231251.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (152132430407) 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 11 ways as a sum of consecutive naturals, for example, 14540371 + ... + 14550829.

Almost surely, 2152132430400 is an apocalyptic number.

152132430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152132430400 is an abundant number, since it is smaller than the sum of its proper divisors (222285403440).

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

152132430400 is a wasteful number, since it uses less digits than its factorization.

152132430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19572 (or 19557 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 152132430400 its reverse (4034231251), we get a palindrome (156166661651).

The spelling of 152132430400 in words is "one hundred fifty-two billion, one hundred thirty-two million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 9091 10459 18182 20918 36364 41836 45455 52295 72728 83672 90910 104590 145456 167344 181820 209180 227275 261475 290912 334688 363640 418360 454550 522950 581824 669376 727280 836720 909100 1045900 1454560 1673440 1818200 2091800 2909120 3346880 3636400 4183600 7272800 8367200 14545600 16734400 95082769 190165538 380331076 475413845 760662152 950827690 1521324304 1901655380 2377069225 3042648608 3803310760 4754138450 6085297216 7606621520 9508276900 15213243040 19016553800 30426486080 38033107600 76066215200 152132430400