Search a number
-
+
10119720 = 2335132499
BaseRepresentation
bin100110100110…
…101000101000
3201001010122110
4212212220220
510042312340
61000522320
7152005362
oct46465050
921033573
1010119720
115792106
1234803a0
132134200
1414b5d32
15d4d680
hex9a6a28

10119720 has 96 divisors (see below), whose sum is σ = 32940000. Its totient is φ = 2486016.

The previous prime is 10119691. The next prime is 10119721. The reversal of 10119720 is 2791101.

Added to its reverse (2791101) it gives a triangular number (12910821 = T5081).

It is not an unprimeable number, because it can be changed into a prime (10119721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20031 + ... + 20529.

It is an arithmetic number, because the mean of its divisors is an integer number (343125).

Almost surely, 210119720 is an apocalyptic number.

10119720 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 10119720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16470000).

10119720 is an abundant number, since it is smaller than the sum of its proper divisors (22820280).

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

10119720 is a wasteful number, since it uses less digits than its factorization.

10119720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 10119720 is about 3181.1507351900. The cubic root of 10119720 is about 216.2998236853.

Adding to 10119720 its reverse (2791101), we get a triangular number (12910821 = T5081).

It can be divided in two parts, 1011 and 9720, that added together give a triangular number (10731 = T146).

The spelling of 10119720 in words is "ten million, one hundred nineteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 195 260 312 338 390 499 507 520 676 780 845 998 1014 1352 1497 1560 1690 1996 2028 2495 2535 2994 3380 3992 4056 4990 5070 5988 6487 6760 7485 9980 10140 11976 12974 14970 19461 19960 20280 25948 29940 32435 38922 51896 59880 64870 77844 84331 97305 129740 155688 168662 194610 252993 259480 337324 389220 421655 505986 674648 778440 843310 1011972 1264965 1686620 2023944 2529930 3373240 5059860 10119720