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470605240 = 23575961467
BaseRepresentation
bin11100000011001…
…101110110111000
31012210112020000201
4130003031312320
51430433331430
6114410411544
714443035640
oct3403156670
91183466021
10470605240
1122170a756
12111730bb4
1376662751
1446703520
152b4ad8ca
hex1c0cddb8

470605240 has 128 divisors (see below), whose sum is σ = 1253491200. Its totient is φ = 155681280.

The previous prime is 470605207. The next prime is 470605283. The reversal of 470605240 is 42506074.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 470605199 and 470605208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1007487 + ... + 1007953.

It is an arithmetic number, because the mean of its divisors is an integer number (9792900).

Almost surely, 2470605240 is an apocalyptic number.

470605240 is a gapful number since it is divisible by the number (40) 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 470605240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626745600).

470605240 is an abundant number, since it is smaller than the sum of its proper divisors (782885960).

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

470605240 is a wasteful number, since it uses less digits than its factorization.

470605240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 470605240 is about 21693.4377174297. The cubic root of 470605240 is about 777.8316062216.

The spelling of 470605240 in words is "four hundred seventy million, six hundred five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 59 61 70 118 122 140 236 244 280 295 305 413 427 467 472 488 590 610 826 854 934 1180 1220 1652 1708 1868 2065 2135 2335 2360 2440 3269 3304 3416 3599 3736 4130 4270 4670 6538 7198 8260 8540 9340 13076 14396 16345 16520 17080 17995 18680 25193 26152 27553 28487 28792 32690 35990 50386 55106 56974 65380 71980 100772 110212 113948 125965 130760 137765 142435 143960 192871 199409 201544 220424 227896 251930 275530 284870 385742 398818 503860 551060 569740 771484 797636 964355 997045 1007720 1102120 1139480 1542968 1595272 1680733 1928710 1994090 3361466 3857420 3988180 6722932 7714840 7976360 8403665 11765131 13445864 16807330 23530262 33614660 47060524 58825655 67229320 94121048 117651310 235302620 470605240