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1204940232 = 233379241293
BaseRepresentation
bin100011111010001…
…1110110111001000
310002222022022021000
41013310132313020
54431431041412
6315322015000
741600552166
oct10764366710
93088268230
101204940232
11569180481
12297647460
13162833cb2
14b6058236
1570bb44dc
hex47d1edc8

1204940232 has 128 divisors (see below), whose sum is σ = 3415104000. Its totient is φ = 393569280.

The previous prime is 1204940207. The next prime is 1204940251. The reversal of 1204940232 is 2320494021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1204940196 and 1204940205.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4112278 + ... + 4112570.

It is an arithmetic number, because the mean of its divisors is an integer number (26680500).

Almost surely, 21204940232 is an apocalyptic number.

1204940232 is a gapful number since it is divisible by the number (12) 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 1204940232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707552000).

1204940232 is an abundant number, since it is smaller than the sum of its proper divisors (2210163768).

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

1204940232 is a wasteful number, since it uses less digits than its factorization.

1204940232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1204940232 is about 34712.2490196184. The cubic root of 1204940232 is about 1064.1148447653.

The spelling of 1204940232 in words is "one billion, two hundred four million, nine hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 158 216 237 241 293 316 474 482 586 632 711 723 879 948 964 1172 1422 1446 1758 1896 1928 2133 2169 2344 2637 2844 2892 3516 4266 4338 5274 5688 5784 6507 7032 7911 8532 8676 10548 13014 15822 17064 17352 19039 21096 23147 26028 31644 38078 46294 52056 57117 63288 69441 70613 76156 92588 114234 138882 141226 152312 171351 185176 208323 211839 228468 277764 282452 342702 416646 423678 456936 514053 555528 564904 624969 635517 685404 833292 847356 1028106 1249938 1271034 1370808 1666584 1694712 1906551 2056212 2499876 2542068 3813102 4112424 4999752 5084136 5578427 7626204 11156854 15252408 16735281 22313708 33470562 44627416 50205843 66941124 100411686 133882248 150617529 200823372 301235058 401646744 602470116 1204940232