Search a number
-
+
61320432 = 24379103157
BaseRepresentation
bin1110100111101…
…0110011110000
311021101101211010
43221322303300
5111144223212
610030150520
71343133525
oct351726360
9137341733
1061320432
1131682a48
1218652440
13c91cca4
14820314c
1555b403c
hex3a7acf0

61320432 has 80 divisors (see below), whose sum is σ = 163005440. Its totient is φ = 19858176.

The previous prime is 61320421. The next prime is 61320443. The reversal of 61320432 is 23402316.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61320421) and next prime (61320443).

It is a junction number, because it is equal to n+sod(n) for n = 61320399 and 61320408.

It is a congruent number.

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, 390498 + ... + 390654.

It is an arithmetic number, because the mean of its divisors is an integer number (2037568).

Almost surely, 261320432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61320432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81502720).

61320432 is an abundant number, since it is smaller than the sum of its proper divisors (101685008).

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

61320432 is a wasteful number, since it uses less digits than its factorization.

61320432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 61320432 is about 7830.7363638422. The cubic root of 61320432 is about 394.3377934029.

Adding to 61320432 its reverse (23402316), we get a palindrome (84722748).

The spelling of 61320432 in words is "sixty-one million, three hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 103 157 158 206 237 309 314 316 412 471 474 618 628 632 824 942 948 1236 1256 1264 1648 1884 1896 2472 2512 3768 3792 4944 7536 8137 12403 16171 16274 24411 24806 32342 32548 37209 48513 48822 49612 64684 65096 74418 97026 97644 99224 129368 130192 148836 194052 195288 198448 258736 297672 388104 390576 595344 776208 1277509 2555018 3832527 5110036 7665054 10220072 15330108 20440144 30660216 61320432