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80142480 = 24335113373
BaseRepresentation
bin1001100011011…
…10000010010000
312120210122211000
410301232002100
5131004024410
611541422000
71662125355
oct461560220
9176718730
1080142480
1141269260
1222a0a900
13137b01b2
14a90262c
157080dc0
hex4c6e090

80142480 has 160 divisors (see below), whose sum is σ = 301230720. Its totient is φ = 19422720.

The previous prime is 80142479. The next prime is 80142499. The reversal of 80142480 is 8424108.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 22074 + ... + 25446.

It is an arithmetic number, because the mean of its divisors is an integer number (1882692).

Almost surely, 280142480 is an apocalyptic number.

80142480 is a gapful number since it is divisible by the number (80) 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 80142480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150615360).

80142480 is an abundant number, since it is smaller than the sum of its proper divisors (221088240).

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

80142480 is a wasteful number, since it uses less digits than its factorization.

80142480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 80142480 is about 8952.2332409293. The cubic root of 80142480 is about 431.1425895068.

Adding to 80142480 its reverse (8424108), we get a palindrome (88566588).

The spelling of 80142480 in words is "eighty million, one hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3373 3960 4752 5940 6746 7920 10119 11880 13492 16865 20238 23760 26984 30357 33730 37103 40476 50595 53968 60714 67460 74206 80952 91071 101190 111309 121428 134920 148412 151785 161904 182142 185515 202380 222618 242856 269840 296824 303570 333927 364284 371030 404760 445236 455355 485712 556545 593648 607140 667854 728568 742060 809520 890472 910710 1001781 1113090 1214280 1335708 1457136 1484120 1669635 1780944 1821420 2003562 2226180 2428560 2671416 2968240 3339270 3642840 4007124 4452360 5008905 5342832 6678540 7285680 8014248 8904720 10017810 13357080 16028496 20035620 26714160 40071240 80142480