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151332240 = 24357183107
BaseRepresentation
bin10010000010100…
…10010110010000
3101112202110210210
421001102112100
5302220112430
623003324120
73515205603
oct1101222620
9345673723
10151332240
1178472174
1242820640
1325477407
141615433a
15d4442b0
hex9052590

151332240 has 160 divisors (see below), whose sum is σ = 485968896. Its totient is φ = 38940160.

The previous prime is 151332211. The next prime is 151332241. The reversal of 151332240 is 42233151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151332241) 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, 1414267 + ... + 1414373.

Almost surely, 2151332240 is an apocalyptic number.

151332240 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 151332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242984448).

151332240 is an abundant number, since it is smaller than the sum of its proper divisors (334636656).

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

151332240 is a wasteful number, since it uses less digits than its factorization.

151332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 271 counting only the distinct ones).

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

The square root of 151332240 is about 12301.7169533362. The cubic root of 151332240 is about 532.8976685203.

Adding to 151332240 its reverse (42233151), we get a palindrome (193565391).

The spelling of 151332240 in words is "one hundred fifty-one million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 83 107 120 142 166 213 214 240 249 284 321 332 355 415 426 428 498 535 568 642 664 710 830 852 856 996 1065 1070 1136 1245 1284 1328 1420 1605 1660 1704 1712 1992 2130 2140 2490 2568 2840 3210 3320 3408 3984 4260 4280 4980 5136 5680 5893 6420 6640 7597 8520 8560 8881 9960 11786 12840 15194 17040 17679 17762 19920 22791 23572 25680 26643 29465 30388 35358 35524 37985 44405 45582 47144 53286 58930 60776 70716 71048 75970 88395 88810 91164 94288 106572 113955 117860 121552 133215 141432 142096 151940 176790 177620 182328 213144 227910 235720 266430 282864 303880 353580 355240 364656 426288 455820 471440 532860 607760 630551 707160 710480 911640 1065720 1261102 1414320 1823280 1891653 2131440 2522204 3152755 3783306 5044408 6305510 7566612 9458265 10088816 12611020 15133224 18916530 25222040 30266448 37833060 50444080 75666120 151332240