Search a number
-
+
2603089920 = 21935331
BaseRepresentation
bin1001101100101000…
…0000000000000000
320201102011200001210
42123022000000000
520312342334140
61110145130120
7121335620304
oct23312000000
96642150053
102603089920
111116415a92
12607929940
133263b54c2
141a9a07d04
151037e0d80
hex9b280000

2603089920 has 160 divisors (see below), whose sum is σ = 8355045600. Its totient is φ = 692060160.

The previous prime is 2603089919. The next prime is 2603089939. The reversal of 2603089920 is 299803062.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7864155 + ... + 7864485.

It is an arithmetic number, because the mean of its divisors is an integer number (52219035).

Almost surely, 22603089920 is an apocalyptic number.

2603089920 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 2603089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177522800).

2603089920 is an abundant number, since it is smaller than the sum of its proper divisors (5751955680).

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

2603089920 is an frugal number, since it uses more digits than its factorization.

2603089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 2603089920 is about 51020.4852975743. The cubic root of 2603089920 is about 1375.6133761444.

The spelling of 2603089920 in words is "two billion, six hundred three million, eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 331 384 480 512 640 662 768 960 993 1024 1280 1324 1536 1655 1920 1986 2048 2560 2648 3072 3310 3840 3972 4096 4965 5120 5296 6144 6620 7680 7944 8192 9930 10240 10592 12288 13240 15360 15888 16384 19860 20480 21184 24576 26480 30720 31776 32768 39720 40960 42368 49152 52960 61440 63552 65536 79440 81920 84736 98304 105920 122880 127104 131072 158880 163840 169472 196608 211840 245760 254208 262144 317760 327680 338944 393216 423680 491520 508416 524288 635520 655360 677888 786432 847360 983040 1016832 1271040 1310720 1355776 1572864 1694720 1966080 2033664 2542080 2621440 2711552 3389440 3932160 4067328 5084160 5423104 6778880 7864320 8134656 10168320 10846208 13557760 16269312 20336640 21692416 27115520 32538624 40673280 43384832 54231040 65077248 81346560 86769664 108462080 130154496 162693120 173539328 216924160 260308992 325386240 433848320 520617984 650772480 867696640 1301544960 2603089920