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80535780 = 2232513127271
BaseRepresentation
bin1001100110011…
…10000011100100
312121112122022200
410303032003210
5131104121110
611554054500
71665354123
oct463160344
9177478280
1080535780
11415077a6
1222b7a430
13138ba210
14a9a5aba
15710c6c0
hex4cce0e4

80535780 has 144 divisors (see below), whose sum is σ = 266133504. Its totient is φ = 19595520.

The previous prime is 80535761. The next prime is 80535823. The reversal of 80535780 is 8753508.

It is a happy number.

80535780 is a `hidden beast` number, since 80 + 5 + 3 + 578 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 297045 + ... + 297315.

Almost surely, 280535780 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 80535780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133066752).

80535780 is an abundant number, since it is smaller than the sum of its proper divisors (185597724).

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

80535780 is a wasteful number, since it uses less digits than its factorization.

80535780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 80535780 is about 8974.1729423942. The cubic root of 80535780 is about 431.8467177382.

It can be divided in two parts, 805 and 35780, that added together give a triangular number (36585 = T270).

The spelling of 80535780 in words is "eighty million, five hundred thirty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 127 130 156 180 195 234 254 260 271 381 390 468 508 542 585 635 762 780 813 1084 1143 1170 1270 1355 1524 1626 1651 1905 2286 2340 2439 2540 2710 3252 3302 3523 3810 4065 4572 4878 4953 5420 5715 6604 7046 7620 8130 8255 9756 9906 10569 11430 12195 14092 14859 16260 16510 17615 19812 21138 22860 24390 24765 29718 31707 33020 34417 35230 42276 48780 49530 52845 59436 63414 68834 70460 74295 99060 103251 105690 126828 137668 148590 158535 172085 206502 211380 297180 309753 317070 344170 413004 447421 516255 619506 634140 688340 894842 1032510 1239012 1342263 1548765 1789684 2065020 2237105 2684526 3097530 4026789 4474210 5369052 6195060 6711315 8053578 8948420 13422630 16107156 20133945 26845260 40267890 80535780