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135650240 = 2651189433
BaseRepresentation
bin10000001010111…
…01101111000000
3100110020202010222
420011131233000
5234211301430
621243242212
73235002515
oct1005355700
9313222128
10135650240
116a631040
1239519368
132214651b
141403130c
15bd979e5
hex815dbc0

135650240 has 112 divisors (see below), whose sum is σ = 357164640. Its totient is φ = 48660480.

The previous prime is 135650233. The next prime is 135650309. The reversal of 135650240 is 42056531.

It is a super-2 number, since 2×1356502402 = 36801975224115200, which contains 22 as substring.

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, 313064 + ... + 313496.

It is an arithmetic number, because the mean of its divisors is an integer number (3188970).

Almost surely, 2135650240 is an apocalyptic number.

135650240 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 135650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178582320).

135650240 is an abundant number, since it is smaller than the sum of its proper divisors (221514400).

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

135650240 is a wasteful number, since it uses less digits than its factorization.

135650240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 135650240 is about 11646.8982995474. The cubic root of 135650240 is about 513.8150909214.

The spelling of 135650240 in words is "one hundred thirty-five million, six hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 89 110 160 176 178 220 320 352 356 433 440 445 704 712 866 880 890 979 1424 1732 1760 1780 1958 2165 2848 3464 3520 3560 3916 4330 4763 4895 5696 6928 7120 7832 8660 9526 9790 13856 14240 15664 17320 19052 19580 23815 27712 28480 31328 34640 38104 38537 39160 47630 62656 69280 76208 77074 78320 95260 138560 152416 154148 156640 190520 192685 304832 308296 313280 381040 385370 423907 616592 762080 770740 847814 1233184 1524160 1541480 1695628 2119535 2466368 3082960 3391256 4239070 6165920 6782512 8478140 12331840 13565024 16956280 27130048 33912560 67825120 135650240