Search a number
-
+
232120720 = 245131719691
BaseRepresentation
bin11011101010111…
…10000110010000
3121011202221202201
431311132012100
5433410330340
635011052544
75515664536
oct1565360620
9534687681
10232120720
1110a031807
12658a1154
1339122650
1422b84156
15155a179a
hexdd5e190

232120720 has 160 divisors (see below), whose sum is σ = 648708480. Its totient is φ = 76308480.

The previous prime is 232120717. The next prime is 232120729. The reversal of 232120720 is 27021232.

232120720 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 not an unprimeable number, because it can be changed into a prime (232120729) 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, 335575 + ... + 336265.

It is an arithmetic number, because the mean of its divisors is an integer number (4054428).

Almost surely, 2232120720 is an apocalyptic number.

232120720 is a gapful number since it is divisible by the number (20) 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 232120720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324354240).

232120720 is an abundant number, since it is smaller than the sum of its proper divisors (416587760).

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

232120720 is a wasteful number, since it uses less digits than its factorization.

232120720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 232120720 is about 15235.5085244963. The cubic root of 232120720 is about 614.5699242681.

Adding to 232120720 its reverse (27021232), we get a palindrome (259141952).

The spelling of 232120720 in words is "two hundred thirty-two million, one hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 19 20 26 34 38 40 52 65 68 76 80 85 95 104 130 136 152 170 190 208 221 247 260 272 304 323 340 380 442 494 520 646 680 691 760 884 988 1040 1105 1235 1292 1360 1382 1520 1615 1768 1976 2210 2470 2584 2764 3230 3455 3536 3952 4199 4420 4940 5168 5528 6460 6910 8398 8840 8983 9880 11056 11747 12920 13129 13820 16796 17680 17966 19760 20995 23494 25840 26258 27640 33592 35932 41990 44915 46988 52516 55280 58735 65645 67184 71864 83980 89830 93976 105032 117470 131290 143728 152711 167960 170677 179660 187952 210064 223193 234940 262580 305422 335920 341354 359320 446386 469880 525160 610844 682708 718640 763555 853385 892772 939760 1050320 1115965 1221688 1365416 1527110 1706770 1785544 2231930 2443376 2730832 2901509 3054220 3413540 3571088 4463860 5803018 6108440 6827080 8927720 11606036 12216880 13654160 14507545 17855440 23212072 29015090 46424144 58030180 116060360 232120720