Search a number
-
+
880765242 = 237313747389
BaseRepresentation
bin110100011111110…
…110100100111010
32021101022111202220
4310133312210322
53300433441432
6223221504510
730553244460
oct6437664472
92241274686
10880765242
11412194a65
12206b72136
13110620686
1484d90830
15524cc72c
hex347f693a

880765242 has 128 divisors (see below), whose sum is σ = 2185297920. Its totient is φ = 231310080.

The previous prime is 880765231. The next prime is 880765267. The reversal of 880765242 is 242567088.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 880765194 and 880765203.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2263984 + ... + 2264372.

It is an arithmetic number, because the mean of its divisors is an integer number (17072640).

Almost surely, 2880765242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 880765242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092648960).

880765242 is an abundant number, since it is smaller than the sum of its proper divisors (1304532678).

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

880765242 is a wasteful number, since it uses less digits than its factorization.

880765242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516.

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 880765242 is about 29677.6892968438. The cubic root of 880765242 is about 958.5616633377.

The spelling of 880765242 in words is "eight hundred eighty million, seven hundred sixty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 31 37 42 47 62 74 93 94 111 141 186 217 222 259 282 329 389 434 518 651 658 777 778 987 1147 1167 1302 1457 1554 1739 1974 2294 2334 2723 2914 3441 3478 4371 5217 5446 6882 8029 8169 8742 10199 10434 12059 12173 14393 16058 16338 18283 20398 24087 24118 24346 28786 30597 36177 36519 36566 43179 48174 53909 54849 61194 72354 73038 84413 86358 100751 107818 109698 127981 161727 168826 201502 253239 255962 302253 323454 377363 383943 446183 506478 566773 604506 676471 754726 767886 892366 1132089 1133546 1338549 1352942 1700319 2029413 2264178 2677098 3123281 3400638 3967411 4058826 4735297 6246562 7934822 9369843 9470594 11902233 14205891 18739686 20970601 23804466 28411782 41941202 62911803 125823606 146794207 293588414 440382621 880765242