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155494400 = 211523037
BaseRepresentation
bin10010100010010…
…10100000000000
3101211120221012212
421101022200000
5304301310100
623232441252
73565452305
oct1121124000
9354527185
10155494400
117a855276
12440a9228
13262a3a29
14169190ac
15d9b7635
hex944a800

155494400 has 72 divisors (see below), whose sum is σ = 385658910. Its totient is φ = 62177280.

The previous prime is 155494397. The next prime is 155494403. The reversal of 155494400 is 4494551.

It is an interprime number because it is at equal distance from previous prime (155494397) and next prime (155494403).

It can be written as a sum of positive squares in 3 ways, for example, as 137921536 + 17572864 = 11744^2 + 4192^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (155494403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49682 + ... + 52718.

Almost surely, 2155494400 is an apocalyptic number.

155494400 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 155494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192829455).

155494400 is an abundant number, since it is smaller than the sum of its proper divisors (230164510).

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

155494400 is an equidigital number, since it uses as much as digits as its factorization.

155494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 155494400 is about 12469.7393717752. The cubic root of 155494400 is about 537.7390607759.

The spelling of 155494400 in words is "one hundred fifty-five million, four hundred ninety-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2048 2560 3037 3200 5120 6074 6400 10240 12148 12800 15185 24296 25600 30370 48592 51200 60740 75925 97184 121480 151850 194368 242960 303700 388736 485920 607400 777472 971840 1214800 1554944 1943680 2429600 3109888 3887360 4859200 6219776 7774720 9718400 15549440 19436800 31098880 38873600 77747200 155494400