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2150151240 = 2335193263353
BaseRepresentation
bin1000000000101000…
…1011010001001000
312112211220000000010
42000022023101020
513400414314430
6553205111520
7104165661336
oct20012132110
95484800003
102150151240
11a037824a6
125000b85a0
132835ca053
141657c2b56
15c8b71cb0
hex8028b448

2150151240 has 128 divisors (see below), whose sum is σ = 6526967040. Its totient is φ = 566624256.

The previous prime is 2150151239. The next prime is 2150151247. The reversal of 2150151240 is 421510512.

It is a super-3 number, since 3×21501512403 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2150151247) 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, 6090904 + ... + 6091256.

It is an arithmetic number, because the mean of its divisors is an integer number (50991930).

Almost surely, 22150151240 is an apocalyptic number.

2150151240 is a gapful number since it is divisible by the number (20) 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 2150151240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263483520).

2150151240 is an abundant number, since it is smaller than the sum of its proper divisors (4376815800).

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

2150151240 is a wasteful number, since it uses less digits than its factorization.

2150151240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 2150151240 is about 46369.7233116610. The cubic root of 2150151240 is about 1290.6931435077.

Adding to 2150151240 its reverse (421510512), we get a palindrome (2571661752).

The spelling of 2150151240 in words is "two billion, one hundred fifty million, one hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 193 263 353 386 526 579 706 772 789 965 1052 1059 1158 1315 1412 1544 1578 1765 1930 2104 2118 2316 2630 2824 2895 3156 3530 3860 3945 4236 4632 5260 5295 5790 6312 7060 7720 7890 8472 10520 10590 11580 14120 15780 21180 23160 31560 42360 50759 68129 92839 101518 136258 152277 185678 203036 204387 253795 272516 278517 304554 340645 371356 406072 408774 464195 507590 545032 557034 609108 681290 742712 761385 817548 928390 1015180 1021935 1114068 1218216 1362580 1392585 1522770 1635096 1856780 2030360 2043870 2228136 2725160 2785170 3045540 3713560 4087740 5570340 6091080 8175480 11140680 17917927 35835854 53753781 71671708 89589635 107507562 143343416 179179270 215015124 268768905 358358540 430030248 537537810 716717080 1075075620 2150151240