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128778240 = 21635131
BaseRepresentation
bin1111010110100…
…00000000000000
322222022121112110
413223100000000
5230431400430
620440055320
73122411523
oct753200000
9288277473
10128778240
1166767aa8
1237164540
13208ab656
1413162bba
15b48b7b0
hex7ad0000

128778240 has 136 divisors (see below), whose sum is σ = 415232928. Its totient is φ = 34078720.

The previous prime is 128778227. The next prime is 128778271. The reversal of 128778240 is 42877821.

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 982975 + ... + 983105.

Almost surely, 2128778240 is an apocalyptic number.

128778240 is a gapful number since it is divisible by the number (10) 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 128778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207616464).

128778240 is an abundant number, since it is smaller than the sum of its proper divisors (286454688).

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

128778240 is an frugal number, since it uses more digits than its factorization.

128778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 128778240 is about 11348.0500527624. The cubic root of 128778240 is about 504.9877329308.

The spelling of 128778240 in words is "one hundred twenty-eight million, seven hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 131 160 192 240 256 262 320 384 393 480 512 524 640 655 768 786 960 1024 1048 1280 1310 1536 1572 1920 1965 2048 2096 2560 2620 3072 3144 3840 3930 4096 4192 5120 5240 6144 6288 7680 7860 8192 8384 10240 10480 12288 12576 15360 15720 16384 16768 20480 20960 24576 25152 30720 31440 32768 33536 40960 41920 49152 50304 61440 62880 65536 67072 81920 83840 98304 100608 122880 125760 134144 163840 167680 196608 201216 245760 251520 268288 327680 335360 402432 491520 503040 536576 670720 804864 983040 1006080 1073152 1341440 1609728 2012160 2146304 2682880 3219456 4024320 4292608 5365760 6438912 8048640 8585216 10731520 12877824 16097280 21463040 25755648 32194560 42926080 64389120 128778240