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153023640 = 233571116561
BaseRepresentation
bin10010001111011…
…11010010011000
3101122221101222020
421013233102120
5303133224030
623103454440
73535452030
oct1107572230
9348841866
10153023640
1179417a20
12432b7420
132591a243
14164748c0
15d67a510
hex91ef498

153023640 has 128 divisors (see below), whose sum is σ = 572382720. Its totient is φ = 31795200.

The previous prime is 153023621. The next prime is 153023641. The reversal of 153023640 is 46320351.

It is a happy number.

153023640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 153023640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153023641) 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, 960 + ... + 17520.

It is an arithmetic number, because the mean of its divisors is an integer number (4471740).

Almost surely, 2153023640 is an apocalyptic number.

153023640 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 153023640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286191360).

153023640 is an abundant number, since it is smaller than the sum of its proper divisors (419359080).

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

153023640 is a wasteful number, since it uses less digits than its factorization.

153023640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16593 (or 16589 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 153023640 is about 12370.2724303065. The cubic root of 153023640 is about 534.8756691316.

Adding to 153023640 its reverse (46320351), we get a palindrome (199343991).

The spelling of 153023640 in words is "one hundred fifty-three million, twenty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 16561 33122 49683 66244 82805 99366 115927 132488 165610 182171 198732 231854 248415 331220 347781 364342 397464 463708 496830 546513 579635 662440 695562 728684 910855 927416 993660 1093026 1159270 1275197 1391124 1457368 1738905 1821710 1987320 2186052 2318540 2550394 2732565 2782248 3477810 3643420 3825591 4372104 4637080 5100788 5465130 6375985 6955620 7286840 7651182 10201576 10930260 12751970 13911240 15302364 19127955 21860520 25503940 30604728 38255910 51007880 76511820 153023640