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151334040 = 233511138819
BaseRepresentation
bin10010000010100…
…10110010011000
3101112202120021110
421001102302120
5302220142130
623003340320
73515214054
oct1101226230
9345676243
10151334040
1178473560
12428216a0
1325478190
1416154c64
15d444ab0
hex9052c98

151334040 has 128 divisors (see below), whose sum is σ = 533433600. Its totient is φ = 33861120.

The previous prime is 151334023. The next prime is 151334041. The reversal of 151334040 is 40433151.

151334040 = T5240 + T5241 + ... + T5250.

It is a super-4 number, since 4×1513340404 (a number of 34 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 151333998 and 151334016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151334041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12751 + ... + 21569.

It is an arithmetic number, because the mean of its divisors is an integer number (4167450).

Almost surely, 2151334040 is an apocalyptic number.

151334040 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 151334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266716800).

151334040 is an abundant number, since it is smaller than the sum of its proper divisors (382099560).

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

151334040 is a wasteful number, since it uses less digits than its factorization.

151334040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8857 (or 8853 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 151334040 is about 12301.7901136379. The cubic root of 151334040 is about 532.8997813373.

Adding to 151334040 its reverse (40433151), we get a palindrome (191767191).

It can be divided in two parts, 1513 and 34040, that added together give a palindrome (35553).

The spelling of 151334040 in words is "one hundred fifty-one million, three hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2860 3432 4290 5720 8580 8819 17160 17638 26457 35276 44095 52914 70552 88190 97009 105828 114647 132285 176380 194018 211656 229294 264570 291027 343941 352760 388036 458588 485045 529140 573235 582054 687882 776072 917176 970090 1058280 1146470 1164108 1261117 1375764 1455135 1719705 1940180 2292940 2328216 2522234 2751528 2910270 3439410 3783351 3880360 4585880 5044468 5820540 6305585 6878820 7566702 10088936 11641080 12611170 13757640 15133404 18916755 25222340 30266808 37833510 50444680 75667020 151334040