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153197440 = 2751147463
BaseRepresentation
bin10010010000110…
…01101110000000
3101200021020101021
421020121232000
5303204304230
623111315224
73540104524
oct1110315600
9350236337
10153197440
1179526560
124337bb14
132597b396
14164bbd84
15d6b1c7a
hex9219b80

153197440 has 128 divisors (see below), whose sum is σ = 408913920. Its totient is φ = 54405120.

The previous prime is 153197371. The next prime is 153197461. The reversal of 153197440 is 44791351.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 153197396 and 153197405.

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, 330649 + ... + 331111.

It is an arithmetic number, because the mean of its divisors is an integer number (3194640).

Almost surely, 2153197440 is an apocalyptic number.

153197440 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 153197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204456960).

153197440 is an abundant number, since it is smaller than the sum of its proper divisors (255716480).

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

153197440 is a wasteful number, since it uses less digits than its factorization.

153197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 153197440 is about 12377.2953426829. The cubic root of 153197440 is about 535.0780914919.

The spelling of 153197440 in words is "one hundred fifty-three million, one hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 47 55 64 80 88 94 110 128 160 176 188 220 235 320 352 376 440 463 470 517 640 704 752 880 926 940 1034 1408 1504 1760 1852 1880 2068 2315 2585 3008 3520 3704 3760 4136 4630 5093 5170 6016 7040 7408 7520 8272 9260 10186 10340 14816 15040 16544 18520 20372 20680 21761 25465 29632 30080 33088 37040 40744 41360 43522 50930 59264 66176 74080 81488 82720 87044 101860 108805 148160 162976 165440 174088 203720 217610 239371 296320 325952 330880 348176 407440 435220 478742 651904 696352 814880 870440 957484 1196855 1392704 1629760 1740880 1914968 2393710 2785408 3259520 3481760 3829936 4787420 6963520 7659872 9574840 13927040 15319744 19149680 30639488 38299360 76598720 153197440