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151224040 = 235111918089
BaseRepresentation
bin10010000001101…
…11111011101000
3101112112222101101
421000313323220
5302203132130
623001131144
73514245262
oct1100677350
9345488341
10151224040
11783a8950
1242789ab4
132543a0a6
1416126b32
15d4221ca
hex9037ee8

151224040 has 64 divisors (see below), whose sum is σ = 390744000. Its totient is φ = 52093440.

The previous prime is 151224037. The next prime is 151224109. The reversal of 151224040 is 40422151.

151224040 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 (19).

It is a junction number, because it is equal to n+sod(n) for n = 151223999 and 151224017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 685 + ... + 17404.

It is an arithmetic number, because the mean of its divisors is an integer number (6105375).

Almost surely, 2151224040 is an apocalyptic number.

151224040 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 151224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195372000).

151224040 is an abundant number, since it is smaller than the sum of its proper divisors (239519960).

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

151224040 is a wasteful number, since it uses less digits than its factorization.

151224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18130 (or 18126 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 151224040 is about 12297.3184068723. The cubic root of 151224040 is about 532.7706339570.

Adding to 151224040 its reverse (40422151), we get a palindrome (191646191).

It can be divided in two parts, 1512 and 24040, that added together give a palindrome (25552).

The spelling of 151224040 in words is "one hundred fifty-one million, two hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 18089 36178 72356 90445 144712 180890 198979 343691 361780 397958 687382 723560 795916 994895 1374764 1591832 1718455 1989790 2749528 3436910 3780601 3979580 6873820 7561202 7959160 13747640 15122404 18903005 30244808 37806010 75612020 151224040