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420873096 = 233767139269
BaseRepresentation
bin11001000101100…
…000001110001000
31002022221120100110
4121011200032020
51330220414341
6105432434320
713300235160
oct3105401610
91068846313
10420873096
111a6632206
12b8b489a0
136926c247
143dc795a0
1526e38216
hex19160388

420873096 has 128 divisors (see below), whose sum is σ = 1233792000. Its totient is φ = 117165312.

The previous prime is 420873091. The next prime is 420873107. The reversal of 420873096 is 690378024.

It is not an unprimeable number, because it can be changed into a prime (420873091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1564450 + ... + 1564718.

It is an arithmetic number, because the mean of its divisors is an integer number (9639000).

Almost surely, 2420873096 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 420873096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616896000).

420873096 is an abundant number, since it is smaller than the sum of its proper divisors (812918904).

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

420873096 is a wasteful number, since it uses less digits than its factorization.

420873096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 420873096 is about 20515.1918343456. The cubic root of 420873096 is about 749.4058084840.

The spelling of 420873096 in words is "four hundred twenty million, eight hundred seventy-three thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 139 168 201 268 269 278 402 417 469 536 538 556 804 807 834 938 973 1076 1112 1407 1608 1614 1668 1876 1883 1946 2152 2814 2919 3228 3336 3752 3766 3892 5628 5649 5838 6456 7532 7784 9313 11256 11298 11676 15064 18023 18626 22596 23352 27939 36046 37252 37391 45192 54069 55878 65191 72092 74504 74782 108138 111756 112173 126161 130382 144184 149564 195573 216276 223512 224346 252322 260764 261737 299128 378483 391146 432552 448692 504644 521528 523474 756966 782292 785211 897384 1009288 1046948 1513932 1564584 1570422 2093896 2505197 3027864 3140844 5010394 6281688 7515591 10020788 15031182 17536379 20041576 30062364 35072758 52609137 60124728 70145516 105218274 140291032 210436548 420873096