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150243200 = 2752291619
BaseRepresentation
bin10001111010010…
…00011110000000
3101110201010220222
420331020132000
5301430240300
622524122212
73503021552
oct1075103600
9343633828
10150243200
1177898a38
1242396368
1325185803
1415d4d4d2
15d2cb785
hex8f48780

150243200 has 96 divisors (see below), whose sum is σ = 384183000. Its totient is φ = 57989120.

The previous prime is 150243179. The next prime is 150243211. The reversal of 150243200 is 2342051.

150243200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91991 + ... + 93609.

Almost surely, 2150243200 is an apocalyptic number.

150243200 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 150243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192091500).

150243200 is an abundant number, since it is smaller than the sum of its proper divisors (233939800).

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

150243200 is a wasteful number, since it uses less digits than its factorization.

150243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 150243200 is about 12257.3732912072. The cubic root of 150243200 is about 531.6162835002.

Adding to 150243200 its reverse (2342051), we get a palindrome (152585251).

The spelling of 150243200 in words is "one hundred fifty million, two hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 128 145 160 200 232 290 320 400 464 580 640 725 800 928 1160 1450 1600 1619 1856 2320 2900 3200 3238 3712 4640 5800 6476 8095 9280 11600 12952 16190 18560 23200 25904 32380 40475 46400 46951 51808 64760 80950 92800 93902 103616 129520 161900 187804 207232 234755 259040 323800 375608 469510 518080 647600 751216 939020 1036160 1173775 1295200 1502432 1878040 2347550 2590400 3004864 3756080 4695100 5180800 6009728 7512160 9390200 15024320 18780400 30048640 37560800 75121600 150243200