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23428560 = 2435314767
BaseRepresentation
bin101100101011…
…1110111010000
31122002021221110
41121113313100
521444203220
62154053320
7403065561
oct131276720
948067843
1023428560
1112252251
127a1a240
134b13b6c
14317c168
1520cbbe0
hex1657dd0

23428560 has 160 divisors (see below), whose sum is σ = 77709312. Its totient is φ = 5829120.

The previous prime is 23428553. The next prime is 23428571. The reversal of 23428560 is 6582432.

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, 349647 + ... + 349713.

Almost surely, 223428560 is an apocalyptic number.

23428560 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 23428560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38854656).

23428560 is an abundant number, since it is smaller than the sum of its proper divisors (54280752).

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

23428560 is a wasteful number, since it uses less digits than its factorization.

23428560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 23428560 is about 4840.3057754650. The cubic root of 23428560 is about 286.1421693609.

The spelling of 23428560 in words is "twenty-three million, four hundred twenty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 47 48 60 62 67 80 93 94 120 124 134 141 155 186 188 201 235 240 248 268 282 310 335 372 376 402 465 470 496 536 564 620 670 705 744 752 804 930 940 1005 1072 1128 1240 1340 1410 1457 1488 1608 1860 1880 2010 2077 2256 2480 2680 2820 2914 3149 3216 3720 3760 4020 4154 4371 5360 5640 5828 6231 6298 7285 7440 8040 8308 8742 9447 10385 11280 11656 12462 12596 14570 15745 16080 16616 17484 18894 20770 21855 23312 24924 25192 29140 31155 31490 33232 34968 37788 41540 43710 47235 49848 50384 58280 62310 62980 69936 75576 83080 87420 94470 97619 99696 116560 124620 125960 151152 166160 174840 188940 195238 249240 251920 292857 349680 377880 390476 488095 498480 585714 755760 780952 976190 1171428 1464285 1561904 1952380 2342856 2928570 3904760 4685712 5857140 7809520 11714280 23428560