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1357440120 = 233452914447
BaseRepresentation
bin101000011101000…
…1110010001111000
310111121021002210000
41100322032101320
510240001040440
6342410353000
745432023241
oct12072162170
93447232700
101357440120
1163726a943
1231a72b760
131882c9a0a
14cc3d3cc8
157e289730
hex50e8e478

1357440120 has 160 divisors (see below), whose sum is σ = 4720161600. Its totient is φ = 349477632.

The previous prime is 1357440113. The next prime is 1357440131. The reversal of 1357440120 is 210447531.

It is a super-2 number, since 2×13574401202 = 3685287358771228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86737 + ... + 101183.

It is an arithmetic number, because the mean of its divisors is an integer number (29501010).

Almost surely, 21357440120 is an apocalyptic number.

1357440120 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 1357440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360080800).

1357440120 is an abundant number, since it is smaller than the sum of its proper divisors (3362721480).

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

1357440120 is a wasteful number, since it uses less digits than its factorization.

1357440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14499 (or 14486 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1357440120 is about 36843.4542354541. The cubic root of 1357440120 is about 1107.2360745337.

Adding to 1357440120 its reverse (210447531), we get a palindrome (1567887651).

The spelling of 1357440120 in words is "one billion, three hundred fifty-seven million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 81 87 90 108 116 120 135 145 162 174 180 216 232 261 270 290 324 348 360 405 435 522 540 580 648 696 783 810 870 1044 1080 1160 1305 1566 1620 1740 2088 2349 2610 3132 3240 3480 3915 4698 5220 6264 7830 9396 10440 11745 14447 15660 18792 23490 28894 31320 43341 46980 57788 72235 86682 93960 115576 130023 144470 173364 216705 260046 288940 346728 390069 418963 433410 520092 577880 650115 780138 837926 866820 1040184 1170207 1256889 1300230 1560276 1675852 1733640 1950345 2094815 2340414 2513778 2600460 3120552 3351704 3770667 3900690 4189630 4680828 5027556 5200920 5851035 6284445 7541334 7801380 8379260 9361656 10055112 11312001 11702070 12568890 15082668 15602760 16758520 18853335 22624002 23404140 25137780 30165336 33936003 37706670 45248004 46808280 50275560 56560005 67872006 75413340 90496008 113120010 135744012 150826680 169680015 226240020 271488024 339360030 452480040 678720060 1357440120