Search a number
-
+
128149440 = 26351311019
BaseRepresentation
bin1111010001101…
…10011111000000
322221010122222120
413220312133000
5230301240230
620414404240
73114152346
oct750663700
9287118876
10128149440
1166378631
1236b00680
132071b393
141303b996
15b3b5310
hex7a367c0

128149440 has 112 divisors (see below), whose sum is σ = 410382720. Its totient is φ = 33879040.

The previous prime is 128149423. The next prime is 128149457. The reversal of 128149440 is 44941821.

It is an interprime number because it is at equal distance from previous prime (128149423) and next prime (128149457).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125251 + ... + 126269.

Almost surely, 2128149440 is an apocalyptic number.

128149440 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 128149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205191360).

128149440 is an abundant number, since it is smaller than the sum of its proper divisors (282233280).

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

128149440 is a wasteful number, since it uses less digits than its factorization.

128149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 128149440 is about 11320.3109497929. The cubic root of 128149440 is about 504.1644713912.

It can be divided in two parts, 1281 and 49440, that added together give a triangular number (50721 = T318).

The spelling of 128149440 in words is "one hundred twenty-eight million, one hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 131 160 192 240 262 320 393 480 524 655 786 960 1019 1048 1310 1572 1965 2038 2096 2620 3057 3144 3930 4076 4192 5095 5240 6114 6288 7860 8152 8384 10190 10480 12228 12576 15285 15720 16304 20380 20960 24456 25152 30570 31440 32608 40760 41920 48912 61140 62880 65216 81520 97824 122280 125760 133489 163040 195648 244560 266978 326080 400467 489120 533956 667445 800934 978240 1067912 1334890 1601868 2002335 2135824 2669780 3203736 4004670 4271648 5339560 6407472 8009340 8543296 10679120 12814944 16018680 21358240 25629888 32037360 42716480 64074720 128149440