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5716920 = 2335116171
BaseRepresentation
bin10101110011101110111000
3101202110010210
4111303232320
52430420140
6322311120
766410256
oct25635670
911673123
105716920
113255230
121ab84a0
1312521c1
14a8b5d6
1577dd80
hex573bb8

5716920 has 128 divisors (see below), whose sum is σ = 19284480. Its totient is φ = 1344000.

The previous prime is 5716901. The next prime is 5716937. The reversal of 5716920 is 296175.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 80485 + ... + 80555.

It is an arithmetic number, because the mean of its divisors is an integer number (150660).

Almost surely, 25716920 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 5716920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9642240).

5716920 is an abundant number, since it is smaller than the sum of its proper divisors (13567560).

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

5716920 is a wasteful number, since it uses less digits than its factorization.

5716920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 5716920 is about 2391.0081555695. The cubic root of 5716920 is about 178.8081754341.

The spelling of 5716920 in words is "five million, seven hundred sixteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 61 66 71 88 110 120 122 132 142 165 183 213 220 244 264 284 305 330 355 366 426 440 488 568 610 660 671 710 732 781 852 915 1065 1220 1320 1342 1420 1464 1562 1704 1830 2013 2130 2343 2440 2684 2840 3124 3355 3660 3905 4026 4260 4331 4686 5368 6248 6710 7320 7810 8052 8520 8662 9372 10065 11715 12993 13420 15620 16104 17324 18744 20130 21655 23430 25986 26840 31240 34648 40260 43310 46860 47641 51972 64965 80520 86620 93720 95282 103944 129930 142923 173240 190564 238205 259860 285846 381128 476410 519720 571692 714615 952820 1143384 1429230 1905640 2858460 5716920