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4020153000 = 233531970529
BaseRepresentation
bin1110111110011110…
…1010101010101000
3101101011121221011120
43233213222222220
531213124344000
61502525455240
7201423510453
oct35747525250
911334557146
104020153000
1117832a94a6
12942411520
134c0b59676
142a1cbc49a
15187e066a0
hexef9eaaa8

4020153000 has 128 divisors (see below), whose sum is σ = 13203216000. Its totient is φ = 1015603200.

The previous prime is 4020152999. The next prime is 4020153017. The reversal of 4020153000 is 3510204.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21736 + ... + 92264.

It is an arithmetic number, because the mean of its divisors is an integer number (103150125).

Almost surely, 24020153000 is an apocalyptic number.

4020153000 is a gapful number since it is divisible by the number (40) 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 4020153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6601608000).

4020153000 is an abundant number, since it is smaller than the sum of its proper divisors (9183063000).

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

4020153000 is a wasteful number, since it uses less digits than its factorization.

4020153000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70572 (or 70558 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 4020153000 is about 63404.6764836790. The cubic root of 4020153000 is about 1590.0624950714.

Adding to 4020153000 its reverse (3510204), we get a palindrome (4023663204).

The spelling of 4020153000 in words is "four billion, twenty million, one hundred fifty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 57000 70529 141058 211587 282116 352645 423174 564232 705290 846348 1057935 1340051 1410580 1692696 1763225 2115870 2680102 2821160 3526450 4020153 4231740 5289675 5360204 6700255 7052900 8040306 8463480 8816125 10579350 10720408 13400510 14105800 16080612 17632250 20100765 21158700 26448375 26801020 32161224 33501275 35264500 40201530 42317400 52896750 53602040 67002550 70529000 80403060 100503825 105793500 134005100 160806120 167506375 201007650 211587000 268010200 335012750 402015300 502519125 670025500 804030600 1005038250 1340051000 2010076500 4020153000