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80419716 = 22341361313
BaseRepresentation
bin1001100101100…
…01101110000100
312121022202010000
410302301232010
5131041412331
611551401300
71664361546
oct462615604
9177282100
1080419716
1141438583
1222b23230
1313879440
14a975696
1570d80e6
hex4cb1b84

80419716 has 120 divisors (see below), whose sum is σ = 230851544. Its totient is φ = 24261120.

The previous prime is 80419699. The next prime is 80419733. The reversal of 80419716 is 61791408.

It is an interprime number because it is at equal distance from previous prime (80419699) and next prime (80419733).

It can be written as a sum of positive squares in 4 ways, for example, as 15681600 + 64738116 = 3960^2 + 8046^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 256776 + ... + 257088.

Almost surely, 280419716 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 80419716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115425772).

80419716 is an abundant number, since it is smaller than the sum of its proper divisors (150431828).

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

80419716 is a wasteful number, since it uses less digits than its factorization.

80419716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 80419716 is about 8967.7040539929. The cubic root of 80419716 is about 431.6391662854.

The spelling of 80419716 in words is "eighty million, four hundred nineteen thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 61 78 81 108 117 122 156 162 183 234 244 313 324 351 366 468 549 626 702 732 793 939 1053 1098 1252 1404 1586 1647 1878 2106 2196 2379 2817 3172 3294 3756 4069 4212 4758 4941 5634 6588 7137 8138 8451 9516 9882 11268 12207 14274 16276 16902 19093 19764 21411 24414 25353 28548 33804 36621 38186 42822 48828 50706 57279 64233 73242 76372 85644 101412 109863 114558 128466 146484 171837 219726 229116 248209 256932 329589 343674 439452 496418 515511 659178 687348 744627 992836 1031022 1318356 1489254 1546533 2062044 2233881 2978508 3093066 4467762 6186132 6701643 8935524 13403286 20104929 26806572 40209858 80419716