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128213436 = 223133797229
BaseRepresentation
bin1111010010001…
…10000110111100
322221020220202210
413221012012330
5230310312221
620420020420
73114540051
oct751060674
9287226683
10128213436
116641171a
1236b31710
1320741550
1413057028
15b3c9276
hex7a461bc

128213436 has 96 divisors (see below), whose sum is σ = 335755840. Its totient is φ = 37822464.

The previous prime is 128213429. The next prime is 128213447. The reversal of 128213436 is 634312821.

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, 559770 + ... + 559998.

Almost surely, 2128213436 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 128213436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167877920).

128213436 is an abundant number, since it is smaller than the sum of its proper divisors (207542404).

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

128213436 is a wasteful number, since it uses less digits than its factorization.

128213436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 381 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 128213436 is about 11323.1371977911. The cubic root of 128213436 is about 504.2483816036.

The spelling of 128213436 in words is "one hundred twenty-eight million, two hundred thirteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 97 111 148 156 194 222 229 291 388 444 458 481 582 687 916 962 1164 1261 1374 1443 1924 2522 2748 2886 2977 3589 3783 5044 5772 5954 7178 7566 8473 8931 10767 11908 14356 15132 16946 17862 21534 22213 25419 33892 35724 43068 44426 46657 50838 66639 88852 93314 101676 110149 133278 139971 186628 220298 266556 279942 288769 330447 440596 559884 577538 660894 821881 866307 1155076 1321788 1643762 1732614 2465643 3287524 3465228 4931286 9862572 10684453 21368906 32053359 42737812 64106718 128213436