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42980700 = 22352797211
BaseRepresentation
bin1010001111110…
…1010101011100
32222212122102210
42203331111130
542000340300
64133120420
71031221110
oct243752534
988778383
1042980700
1122297044
1212489110
138b9b489
1459cb740
153b90050
hex28fd55c

42980700 has 144 divisors (see below), whose sum is σ = 144268544. Its totient is φ = 9676800.

The previous prime is 42980687. The next prime is 42980713. The reversal of 42980700 is 708924.

It is an interprime number because it is at equal distance from previous prime (42980687) and next prime (42980713).

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 47 ways as a sum of consecutive naturals, for example, 203595 + ... + 203805.

Almost surely, 242980700 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 42980700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72134272).

42980700 is an abundant number, since it is smaller than the sum of its proper divisors (101287844).

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

42980700 is a wasteful number, since it uses less digits than its factorization.

42980700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 42980700 is about 6555.9667479328. The cubic root of 42980700 is about 350.2873830145.

The spelling of 42980700 in words is "forty-two million, nine hundred eighty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 97 100 105 140 150 175 194 210 211 291 300 350 388 420 422 485 525 582 633 679 700 844 970 1050 1055 1164 1266 1358 1455 1477 1940 2037 2100 2110 2425 2532 2716 2910 2954 3165 3395 4074 4220 4431 4850 5275 5820 5908 6330 6790 7275 7385 8148 8862 9700 10185 10550 12660 13580 14550 14770 15825 16975 17724 20370 20467 21100 22155 29100 29540 31650 33950 36925 40740 40934 44310 50925 61401 63300 67900 73850 81868 88620 101850 102335 110775 122802 143269 147700 203700 204670 221550 245604 286538 307005 409340 429807 443100 511675 573076 614010 716345 859614 1023350 1228020 1432690 1535025 1719228 2046700 2149035 2865380 3070050 3581725 4298070 6140100 7163450 8596140 10745175 14326900 21490350 42980700